most hornbows, exept from maybe the turkish and indo-persian flightbows, are develloped for warfare. They're devellopped to have maximum performance at incredible drawweights, launching heavy arrows over a long distance. There are records of chinese bows drawing 150#@28", wich would be way over 200# at their drawlength of 36". They were used by develloped civilisations, not by hunter-gatherers.
the wooden bows were especially made for hunting. They have excelent performance at lower drawweights (30-100#), are easy to make, and are reliable under almost all circumstances. At really high drawweights they will be outperformed by hornbows. This has one big reason:
if you have 2 wooden bows, one being 30#, the other 60#, the latter will be twice as heavy, if well made. You get the additional strength by adding length+thickness or width to the limbs, so the stresslevel remains the same.
if you have 2 hornbows, one being 100#, the other 200#, the latter will be just slightly heavier. The horn-wood-sinew combination can take incredible stress, but you need alot of mass for stabilisation of the siyahs. Wether you make a 100# or a 150# doesn't really matter, as long as you can keep your siyahs stable. This makes lighter hornbows relatively heavy in the outterlimbs, so they don't have an extraordinary performance.
Tim baker made a 50# red oak bow, wich shot 167fps, one fps faster than the turkish h/s bow with a similar drawweight. At 150# the red oak bow would've been 3 times as heavy, the turkish bow would be less than twice as heavy, and outperform the wooden bow. in addition, for these heavy bows you need top-quality wood, wich isn't always available.
the short turkish flightbows were made for shooting very light arrows over a long distance. they needed light limbs for this. The mongolian bows were made to launch heavy, long wararrows. The big siyahs gave them a way better f/d curve, so they fellt lighter than they actually were, making it possible for the archers to draw heavier drawweights and shooting relatively accurate with these incredible strong bows. Also their excessive drawweight and drawlength required more limb than the lighter, shorter-drawn turkish flightbows. These longer limbs were also safer, wereas a break in a flightshoot isn't lifethreatening, a breaking bow in a battle is.
Nick