Personally, I don’t take TF2’s “man hands” as canon, I take them as style. Just like how when I’m thinking about cartoon characters, I don’t think about their eyes actually being half their face or what have you. Some of the characters I’m sure have large hands (Heavy at the very least to be sure) but I find it a little odd/humorous some people take it that way.
Of course, it’s still interesting to see people who do actually look at them or at least draw them that way (though from what I’ve seen that’s mostly just Sarcasmosaur) and I’m not about to get in an e-fight over it. But seeing a picture comparing the hands of, say, Heavy and Medic, or pretty much anyone and Pauling, kind of tickles my brain. Like, it works as an image, but if I start actually thinking about it I sort of mentally resize everything to what I would assume to be their real world sizes. And we all know Heavy gets tons of that already, or else he’d be the world’s first successful orangutan hybrid.