Imagine thinking a self bow is a suitable weapon of war. Laughs in turkic, Mongolian, and Magyar
Yeah, tell that to the capharacts in the byzantine/Persian and Byzantine/Avar wars. You know, the ones more heavily armored than French knights ever were and have holes shot in them. Or the samurai that met Korean composite infantry archers.
Draw weight on any composite bow can match or beat a self bow, since bone and horn beat wood. The bow part of a crossbow is composite after all.
, the maximum draw weight of an English longbow was significantly higher than a typical recurve bow, with the best longbows reaching draw weights between 150 and 180 pounds, while most high-quality recurves would max out around 60-70 pounds depending on the design and archer’s ability; essentially, a historical English longbow could reach considerably higher draw weights than a modern recurve bow. So while you can penetrate some armor while riding around on your pony an Englishman will just knock you off the horse your on from farther than your maximum range with his longbow.