It's not different than feeding a CB snake. Said CB snake would have also lost all of it's hardiness factors as well, so the mouse would also have a possibility of injuring/infecting the snake eating it. CB feeders are in no way, shape or form free of parasites and or infection.
I really don't see any difference where the frog(s) are concerned. A staple diet of inverts is the best way to go, I believe everyone has already agreed on that. A mouse, snake or even a lizard is also perfectly acceptable where the bigger terrestrial frogs are concerned. Just don't use them as a staple, it's really as simple as that.
Now live or frozen rodent, well, that's all up to the frogs owner.