Clearly there are inherent performance differences in bow types. The best designed straight limbed longbow will never shoot as fast, or even nearly as fast, as the best designed recurve of the same weight. In the lower weight ranges, this could be compensated for by increasing the draw weight of the longbow. However, as draw weights increase, arrow speed increases less and less with increased draw weight. So for example, while the best 50# straight limbed longbow might shoot as fast as the best 40# recurve, it might be impossible to build a straight limbed longbow that will shoot as fast as the best 60# recurve. My numbers are hypothetical and are only intended to illustrate a concept.
While the differences between straight limbed longbows and recurves are readily apparent to anyone who checks, I’m sure the same, although more subtle, differences exist in bow designs in between the extremes, for example, r/d longbows and moderately recurved bows.
As with life in general, there's no such thing as a free lunch. With increased speed comes increased risk of damage, and more radical designs are less forgiving of form errors.