I MAY, but then MAY NOT.
Just a few rambling thoughts:
While hunting the traditional "Run & Gun" style of turkey hunting, killing a turkey with a bow would generally require much greater hunting skills. This is a true hunting challenge, and a much greater feat than killing a deer with a bow while still hunting.
But hunting from a pop-up blind?
I see little additional challenge in killing a turkey with a bow vs. just using a shotgun. True, there is a tad more challenge, but not that much. IMO, it's mostly just an inconvenience to be using a bow instead of a shotgun.
My thoughts on this are much like my thoughts on deer hunting.
First and foremost, I'm more a hunter, than any particular weapon enthusiast. I usually hunt with the most effective legal weapon that's "in season". If that be a bow, I'm happy to hunt with a bow. But when a gun is legal, I usually find that gun a more effective weapon for my hunting.
But I do understand and appreciate that some people are simply more into archery than I'm into hunting. Others are more interested in golf. That's fine. I'm just in to enjoying the hunt.