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Most people just go for carbon because its usually cheaper to buy a half dozen or full dozen at the store rather than try and track down an actual wood arrow maker whose arrows by the half or full dozen will usually cost more.  Carbon arrows are also speedier than wood.  However a wood arrow, if made of say cedar or spruce, can be reusable when it breaks but that's dependent upon how and where the break is.  That from my years of archery experience is the only real advantage wood has over carbon.  When a carbon breaks, it almost always fractures in a way that is unusable again. 

When considering bamboo arrows, they usually fracture in a way where they are unusable again, however the Japanese will apparently repair a broken bamboo arrow for you almost no matter how it fractures.  So long as its of course actually one of their bamboo arrows, just to be clear.  I have never gone through this process myself.  As far as I know, Korean bamboo arrow makers do not offer this service for their arrows.  I have glued back some of my Korean bamboo arrows that I thought had salvageable fractures.  It went OK but I don't really shoot the re-glued ones and would not recommend doing it yourself or even shooting them.

Final point: wooden arrows usually lead you into crafting.  Particularly if you want to make them yourself rather than have a wooden arrow maker do them for you.  This is fine, but it will take away time from you shooting and perfecting your technique and form.  Which is really what you should be focusing on as a beginner.

Overall, carbon is best for all, particularly if you are a noob.  They generally have more longevity as well compared to their wood counterparts.

Is it possible to purchase your horn bow video from you somehow?

Oh wait I see the pic now.  Yeah its entirely possible that it could be accurate for whatever period is being depicted on the statute of the mounted archer.  I don't think a singular bow type existed per se to any culture 100%.  For instance, it seems the Mongols had varying degrees of their bows.  On the other hand it could be a mistake but I wouldn't be entirely surprised if this is a bow type not frequently talked about internationally that relates to Koreanic people.  Not everything seems to get published for international consumption among some of these countries especially given the somewhat esoteric reach and nature of the subject at hand.

If you draw a bow shorter than the length its rated at then, yes, the draw weight you are holding at full draw will be less than the rated amount.  Naturally, the draw weight increases if you pull past the rated length.

The only sure way to know what your bow's draw weight is at any given length is to use a draw-scale.  You can use a formula to try and figure it out but your numbers probably won't be nearly as accurate compared to using an actual draw-scale.

As for your logic, it's correct.  If you are trying to get a little more weight out of your draw length by picking up say a 50# bow rated at say 31", then drawing it at about 30' will probably put you in the ball park of 45# but its really difficult to say precisely without being able to take it to a draw scale.

Good luck with whatever you decide to do.

****Update****

This is the replacement HMG sent me after the 90 pounder broke:

Bow: HMG 'Monarq'
Bow rating: 45#@31"
Actual draw: 50.29#@34"
Arrow type: Alibow carbon @36"
Arrow weights: 343.06 grains
GPP: 6.82
FPS: 231

Energy/ft-lbs: 40.63   
Efficiency: 0.80

Pretty darn good results.  Korean synthetics prove time and time again that higher price tag and amazing scores like these have no real correlation.  Often times for the higher end stuff, you pay more for looks and feel.  Not necessarily a bad thing per se and lets consider here the Saluki Turk.  Sure its not casting arrows out as fast or as efficiently as this HMG but it does feel better in the hands.  I prefer the grip with how its shaped on the Turk plus the high quality leather work Lukas provided on that section of the bow.  Its also smoother at full draw and overall a fairly comfortable bow to handle.  Likewise, the amount of let off you get with the Paragon Khan is amazing, so smooth, does not feel like at all like its 50 or 54 pounds.  I'll have to double check things one day if I ever get a decent draw scale. 

I've also noticed that bows over the years that have more of a rigidness to them seem to score higher here in the matter of efficiency.  Bows that are too soft feeling score less.  That's not to say if you go as rigid as you can you will get your best scores.  That was precisely the problem with the Golhan Turk.  Very stiff, very rigid resin material that probably would have produced a near straight draw force curve.  Not smooth at all with poor output efficiency.  The Elong 'Crab bows' were of course the opposite here.  Extremely smooth flexi-resin yet no real power at all with the cast.  This is why laminate synthetic bows are so coveted.  A bowyer can choose a series of top notch material like maple, osage, bamboo, and Bear Paw glass, stack it all together, and produce something amazing by getting the best of both worlds on the pendulum scale of rigid-smooth. 

There's always a sacrifice for whatever you do though.  Tip too rigid on the pendulum scale of bow making and you sacrifice smooth draw, tip too far for smooth draw and you sacrifice efficiency.  The Saluki Damascus seems to hit the balance between these two areas almost perfectly as I reflect back now upon years of data.  That's why that particular bow has been as successful as it has.  The Korean bows in general are not that smooth but I suspect the slight bias towards more rigidness is done to ensure a speedier bow that can easily cast an arrow down a 145 meter range.  Just my guess here.

These particular HMGs are no exception and I can't say my YMGs or SMGs were super smooth either.  However, their inherent power was always realized one way or the other.

****Update****

Bow: Paragon 'Khan'
Bow rating: 35#@28"

Actual draw: 43.95#@33.5"
Arrow type: 33.5" Goldtip carbons
Arrow weights: 425.93 grains
GPP: 9.69
FPS: 195

Energy/ft-lbs: 35.95
Efficiency:0.81

So about this one: first off, Rob is an excellent bowyer and what he has achieved here with the Khan is phenomenal.  I am somewhat confused though about the draw weight stats provided with the bow.  This one is supposed to actually reach 48#@32 inches.  It doesn't remotely feel it to me.  Not sure if it has to do with the technology used to build the bow plus the design or not.  I'm also not sure if the draw weight numbers on the card are derived from an actual draw scale or not.  My confusion is partly from the fact that my Alibow Kaiyuan is rated 40#@36" and when I draw to that, the weight of the Kaiyuan at my full draw with that bow seems more comparable to what I'm feeling here with the Khan at full draw.  My Khan's draw weight does not seem to be anything like my Mariner Yuan which is 50#@32".  Of course my challenge is ultimately wrong if draw weights on the card were derived from an actual bow draw scale.  Provided the scale is calibrated correctly of course.  I don't know but even if it is, the bow just doesn't feel 50#@32".  However if I am right, then congratulations to Rob on these phenomenal results!    While mine doesn't quite reach over 200 FPS, 195 with a 9.55 GPP arrow delivering a 0.81 efficiency rating isn't too shabby in my book.

I did a query and this came up:

https://archeryfactoryoutlet.com/daehan-ktb/

There are reviews at the bottom of the page although they reference Kaya KTBs rather than Daehun.  Some reviews don't however reference the bow as Kaya.  There is a contact section on the website, you could perhaps ask them which reviews more accurately refer to the Daehun.  In the meantime, I'll put out some feelers elsewhere on your behalf.

****Update****

So I didn't initially tell, but when I picked up the 50#HMG 'Monarq' I also picked up a 90#one.  I finally have stats:

Bow: HMG 'Monarq'
Bow rating: 90#@31"
Actual draw: 82.94#@29"
Arrow type: carbon
Arrow weights: 502 grains
GPP: 5.57
FPS: 237

Energy/ft-lbs: 62.59
Efficiency:0.75

Naturally, tough bow to shoot.  Especially if your form is not perfect.  I hope to get to 31 inches one day.  In the meantime, I'll add this one to the chart.

That does seem to happen too, that is longer jang-gung type bows not always having the elasticity needed to actually draw as long as they could.  My old shorter HMG at 51" can be drawn as long as my longer jang-gung grade YMG-Hwarang which is 52" long.  I can only get a max draw of about 32.5" out of the YMG-Hwarang.  ebay does have someone selling the Farmingtons so you could always ask but yeah I can easily vouch for HMGs having much elasticity to them and very obtainable long draws.  If its elasticity you're looking for, HMG is probably your best bet.

I don't.  There used to be yt videos made by a Korean archery group shooting them and that's all I really know or can say about them.  Are you trying to stay under 200 USD?