Remember how Katara rejected Aang's kiss, yeah well I hate it when people say that she was confused because of the war and all that shit, like no she just didn't want to kiss some bald headed 12 year old lol, and in the kiss during the invasion episode too people keep saying "Katara blushed that means she likes him" nah lol that was an embarrassed blush wouldn't you agree, not a blush that showed she liked him, Kataang is so sorry lol 😂 but they do win with the last kiss can't argue much there.
1) Read this post by @araeph the showcases the dialogue between Zuko and Katara and Aang and Katara prior to the finale. You’ll see Zutara developing into something natural and mutual, while Kataang falls apart into nothing more than arguments about Aang’s training, Ozai, and the kiss before the invasion.
2) Aang literally exploded on Katara in Love is a Battlefield, so if that’s the kind of relationship Bryke want for her, than okay… you’ve won Most Abusive Ship of the Year (congrats on beating out Maiko, it’s hard to do, but you did it!!!). Aang behaves like the kind of boyfriend who won’t hurt you, but he’ll punch the walls and smash the dishes to show just how much he could hurt you.
3) Prior to that kiss in the finale, Aang and Katara hadn’t talked at all… not since the Ember Island Players when he snapped at her for not focusing on their relationship and forced a kiss on her. She said she was confused about their relationship’s status and that she wasn’t ready. That position was never resolved. All we got between that argument was Aang beating Ozai on sheer dumb luck alone and Katara making googly eyes at him as soon as Zuko says the ‘real hero is the Avatar,’ because Bryke needed to stroke their Hero Always Gets The Girl egos. That was literally it. That’s the only reason Aang ended up with Katara— Bryke couldn’t stand the hero winning nothing at the end.
4) When they kissed again, there was still no discussion about where they stood, where they were going, or why Katara’s feelings were suddenly so different. Are we honestly supposed to believe she went from day to night just because he beat Ozai?! She literally cringed the last time he kissed her, but okay, Bryke, okay.
So. No. They did not win. Kataang has won nothing ever. Except maybe the Most Contrived Relationship of the Year award.