What makes people hate Yasuo so much that they seem to literally want him deleted from the game?
He's an assassin.
If you browse the forums, you'll notice a solid ~80% of all QQ threads are directed at champions with an assassin tag. Being hated comes with being an assassin, and even with having an assassin secondary.
Also - if you look at the other low win-rates, you'll notice a lot of other assassins sitting in that bottom 15. LeBlanc has been in that zone for a couple years now, even before her silence removal.
Anyways - it's the assassin play-style and archetype that's causing the hatred.
which probably has to do with a few key things:
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Assassins are the most opportunistic class. Make a mistake and they're more capable of punishing it than any other class. So, they're amazing in yolo-queue against dissorganiziation, not the greatest against 5 man premades. Pretty solid chance yolo-queuers are going to complain a lot louder.
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Assassin's end-game is getting a lot of kills.
Ultimate goal in LoL is to blow up the Nexus, not get a lot of kills - but kills are a really obvious, highly visible stat.
Most other champions have an end-game revolving more around objective control or team-fights rather than simply kills.
Assassins win games almost exclusively from removing opponents off of the map before contesting objectives or picking team-fights.
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Assassins are much better duelists than most marksman, tanks, mages, and supports. Only fighters tend to have a clear advantage in a 1v1, but most players seem to assume that every champion should be balanced in a 1v1 scinario. As a 5v5 game with a victory condition set on the Nexus exploding, that's just not the case.
You could argue all you want about balance, the specifics of Yasou's kit, pro play, or more - but being an assassin is pretty much the reason people have a massive beef with Yasou.