Balance idea for katarina to slightly mitigate her recent nerfs
The base damage reduction and cd nerf on kat's ult make it clear Riot thinks her early game will become too beneficial in the preseason meta. I don't argue that the changes made do benefit kat, but a 50% increased cooldown ult is quite the nerf.
What if katarina's passive reset her ult not by a base amount, but by a percentage. Right now, kat won't reset a level 1 ult unless the enemy team completely dies. Making her passive reset her ult cd by 33% rewards good use of ult that gets kills/assists while still leaving the 90 second cd punishment for using the ult just as harassment. This ensures that katarina is only 3 kills or assists away from an ult reset, which will help strengthen her teamfighting closer to where it was prenerf. But the damage is still lessened and the base cd still punishes frivolous uses of the ult.
This will reward optimal play early game while still maintaining the harsh cd punishment for slip-ups early game.
This is only if the balance team finds kat as being not as strong as they anticipated but not wanting to just revert the new changes. I think this is an interesting compromise that promotes playstyle depth and further separates her skill ceiling and floor.