probably the biggest drawback to the long tube scopes in hunting situations is limited field of vision. if you regularly get shots at standing deer they'd likely be okay.
I imagine lots of folks feel the same about them by default (whether they have real life hunting experience with them or not).
IMO field of vision limitations, if any, of the long tube scopes normally seen sold for muzzleloaders might depend in part on how you use them (the shooting techniques you are comfortable with). And it probably has something to do with eye dominance... which eye or how strong one is over the other or if somewhat equal. I learned to shoot with both eyes open with all firearms (and eventually all types of sights) from an early age, so I didn't perceive loss of field with scopes in hunting situations. No doubt there is some depending on range, and maybe more likely with these small tube scopes with only so-so glass quality. But it comes down to shooter perception, and in my case anyway it was not enough to bother me much usually. Just my take on these specialty scopes though as my only experience with them on a muzzleloader is the one on my 36 barrel. It's quality is OK and it works fine for me for predators and varmints (the only things I ever hunted with it). Running shots took a while to get on more consistently, but in my case that was probably more from figuring out leads at various ranges lobing slow PRB's after so many years of hunting them with modern rifles and specialty pistols. These scopes are not for everybody mostly likely, but I like my 36 with it's long tube scope more than the muzzies I have (and had) with peep sights for hunting P&V anyway. (Way back when I still hunted big game with the muzzies it was only with open sights though.)
FWIW-YMMV