As long as "less accurate" is still capable of putting it in the vitals when you need to, then there is no problem. Now if one bow you can drill them in, and the other you just hope you can hit something now and then, that's a different story.
I know you said bowhunting only but I really think you can apply it to guns as well. I choose to rifle hunt with a little 44 mag cowboy gun. Is it as accurate as my 243.....not even close, but it still kills deer when I shoot at them.

Edited to add this:
I just find it very odd that someone would put the time and effort into gear, scouting, license, etc only to have it come time for the moment of truth and not be confident in finishing the job. Many guys do it, I just don't understand it.