I wouldn't think that a .44 Magnum would have bad kick in a rifle, since Henry rifles are kinda' heavy for their size, it should absorb the recoil pretty well, I think a .44 Magnum would be better for deer, more power, and more range, and, yes, when aimed well, I think the deer would notice a difference, at 100 yards, the 44 has substantially more power than a 357.

It's like saying will a deer notice the difference between getting hit by a 25-06 in comparison to a 30-06.