A comparison I would use is compound bow vs. traditional setup, where the T/C's are compounds and revolvers are recurve/longbows. One setup will get you a bit more range and accuracy while the other might require you to get closer to your target. But in the end, they're both bow hunting.
That's not to say I disagree with you. When I think of handgun hunting, the first image that pops into my head is someone with a revolver, not a bottleneck cartridge chambered T/C or SP. In my opinion, one of the greatest challenges in hunting is to take a game animal with an open sighted revolver.
At the same time, though, I'll never look down upon someone who uses a bottleneck cartridge chambered T/C. They're not exactly that easy to shoot, either, and still require a lot of practice to become proficient with. Not to mention having to create a load that works well in 15" of barrel or less. Having a scoped T/C allows me to hunt in ways I might not easily be able to with just a revolver. For example, there's no way I'm going to hunt coyotes with just my open sighted 460 unless I'm hunting with someone using a rifle who can shoot them pretty far off, but I'm fine with going alone with my 243 Encore in case one of them hangs up on the distance.