[Nyara]

Actually, luck is present even if you're removing ALL the "hax" things, why? Match-ups, Pokémon's bread and sugar is it, also, Pokémon's life is also the classic argument of accuracy vs power, wanna win against some teams you couldn't do otherwise? Risk more and put that Focus Blast on your Gengar or Alakazam and blow that Tyranitar the 70% of times, "countering" at some degree the natural "hax" of Match-Ups, and if you don't want to risk, you can use more precise moves, and win with more confidence against some teams, but you'll lost against some others more if you're not taking risks.

Critical Hits and rarely secondary effects by other hand are the "game breaking" factor, as for example you can still overcome some circunstances thanks to them, you teams had no counters against certain Pokémon? Option A: Forfeit like a chicken (unique option without "hax") / Option B: Still playing and hope for a Critical Hit or for a miss of it's attacks, and try to overpredict it, too.

At the end, you're not removing "hax" from the game, you're just choosing your poison between rage for a Critical Hit, and rage quit for a bad or impossible match-up, and I think we all know how disgusting are the rage quitters.

The unique way to remove "hax" and "luck" from Pokémon is by just allowing the use of only 6 Pokémon with only 1 set being able to be used, and both players are forced to lead with the same Pokémon (and make magic with the speed tie), and removing all the random chances of moves and stuff. But of course, don't come later to me to say it's boring and repetitive as hell.

And for the part of at least reducing luck factors, the idea of knowing of beforehand the RNG's is the unique viable solution, as it allows you to reduce the imperfect information "hax" trouble at some degree, and could make you think more, and play your chances better, other options are just cripple Pokémon because yes.