There is no reason that with a good bow and arrows matched, that you can't shoot it nearly as well as any trad bow. It really depends on the bow and how well the arrows match up...and how well you practice with it. People always wonder "how accurate is this bow"?....it's only as good as the shooter can shoot it.
It can be tougher, at first, getting used to shooting primitive stuff, but once you "wrap" your head around it right, and set your mind and practice session up so that it builds your confidence, rather than tear it down, there is no limits to what you can do.