If you think about it, Team Fortress 2 is the embodiment of anti-edginess.
On paper, a game about mercenaries killing each other in a war made by two shady companies would be in a typical grimdark fanfic a dour affair filled with dread.
Then you actually see the lore and play the game and you can tell that none of it takes itself seriously, the mercs are so utterly hilariously sociopathic in their quotes, their characters are ridiculous and amusing, the violence still manages to be rather cartoonish and over the top, the CEO’s for the companies are so utterly insane it only works because the whole world as a whole is just as insane, and the fact respawn is canon or at least semi-canon means the mercs are by this point legitimelly uncapable of take even their own pain seriously (“Oh that smarts.” when gibbed for example). Which is why at it’s time it stood out from other more traditional FPS’s.