Blue kayn is the ONE reason that i want duskblade removed from the game

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Kat's winrate goes up the further up the ladder she is.

This isn't a yi case specific to high elo only, that is only good off of bad players.

This applies with everything broken in the game at all times.

Again: This isn't a yi case specific to high elo only, that is only good off of bad players. Kat easily finds ways around all her weaknesses, either off of proper mechanics, or itemization to counter her threats. While most champs have a window to punish, kat doesn't with her lane safety and kill pressure. It doesn't take a bronze team for a kat to kill mid, roam bot, and snowball from there doing massive damage in teamfights. The only thing you can rely on is if the kat herself is bronze. Its a similar issue to kassadin except kassadin's pre-6 doesn't carry that much mobility and kill potential, he powercurves while kat is always power curving with each item purchase, and has access to tools to counter all her problems, be it hexdrinker, QSS, zhonyas, GA, or raw AP damage.

Good and broken are two different things.

I don't mind kat being viable, but when she's this effective and offers this unclear counterplay she needs trimmed down a little, whether its her early game or her mid-late game, she needs a point in the game where she isn't power curving, even assassins like talon or zed tend to fall off late game.

OP.gg KR filtered statistics.

Also, if you want to use your logic, if the best and most intelligent at the game don't want to even deal with kat, that seems like a big hint of what an unhealthy state she's in that they can't easily see the counterplay and don't want to play against it.

This should help you out with what I'm saying: https://youtu.be/6FvJocbkfcQ?t=1177

Basically, Katarina is an extremely good champion when someone experienced with her plays her against other players who do not fully understand how their champion works and how she works. Believe it or not, a lot of plat+ players stick to whatever is freelo and never really have a "main". I mean, why learn a hard champ mid lane when you can just pick up an absurdly braindead and broken pick (Malzahar)?

This is what Kat does, she punishes players who do not respect her and the absurd amounts of damage she brings to a fight as well as players who disrespect her early cheeses due to this. In this same way she also punishes players for not understanding how she works. If more players knew that her Shunpo goes on a 3.08 sec cooldown pre-6 at rank 1 Shunpo and more players understood just how much damage she does we would likely see her winrate drop rather significantly. Also if more players spotted when she goes for roams and respected her roams instead of getting greedy with farming.

Effectively, Katarina is this champion who benefits immensely from the unknown, hence why she's really good in an environment which lacks co-ordination and forces players to prioritise learning how to play against other picks; known as solo queue. There are many reasons why she's simply a deadweight pick in competitive team play.

One important side note is that Kat still lacks actual CC. Sure, she can build Gunblade and/or Rylai's, but that does not fix her problem of being completely useless to her team unless she can safely blow her full rotation or in a dream scenario, reset and pop off.