Katarina lacks counterplay and cannot be balanced with numbers
Ever since her rework she was like that. Before you only had to CC her to stop her ult and she lost her damage and could be killed, but in this state this option falls out because she doesn't need more than three ticks of her ult most of the time and uses it just because she's waiting for the partially reset Shunpo CD to come back up in 99% of the scenarios.
Her instant blink that also lets her position as she wants makes her immune to every skillshot that's not Xerath's or Vel'Koz's Q and I blame it as the core of her problems. I don't care about her winrates, I'll always hate facing her because she's as much interactive for the opponent as Yasuo, because same as him, she's on the other side of the lane before the skillshot you casted goes off.
Also even though people wil say "just stay away from her daggers", listen:
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She doesn't even need to place them first, she just Flash-Es on top of you and you are fucked because you will not walk away before she procs the spin. trust me, I do it every time when she does that - I let her Q me and then walk to the exact opposite side instantly - she always hits the spin damage anyway. And Flash CD is high? Doesn't matter, she needs just this one kill to snowball uncontrollably.
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Why don't I just stay in the base right away, right? The daggers have deceptively wide range and you will not notice it because the particles are so subtle, but she actually covers half the lane with one dagger: https://imgur.com/DFV0q4M
Ah, you wanna CS? How bout you risk death every time you get close to the wave? "ThE dAgGeR lAsTs FoR a ShOrT wHiLe" Yes and it's CD short as much and it's back up again before I walk up to the creeps. "ThEn ClEaR wItH sPeLlS" Yeah, let me show you how she will clear back as good as me and also is manaless, guess who's gonna get fucked first that way.
"Just pick this" I'm not gonna fucking play Malzahar every game and that's not an answer.
Mobility just needs to be telegraphed more in this game overall. Planning forward is jackshit useful when the enemy can always respond in real time and the only strategy available you had has been crushed in one moment.