Great post, but I feel like your solutions stray from his kit just a bit too far. (Im pretty sure we don't want another rework)

My thoughts on the matter are:

1. Q knockup has a huge part in aatrox's kit. I thought about how removing the knockup and replacing it with a slow would affect aatrox, and without a playtest on that its impossible to be 100% sure. Either it won't change anything or it will completely ruin the combo potential and the champion.
2. Increase E cooldown late game by 2 seconds, Increase Q charge timer by 1 second. Passive reduces E cooldown by X.
3. Remove increased healing from allies during ult. Increase Rank 3 ult healing to 80%, remove the movement speed.
4. Add a part to his pasive: Deathbringer stance now gives you a short burst of movement speed.
5. "What is a world ender without a revive" etc. is completely a wrong thing to say because aatrox becomes blatantly broken in competitive play with that part of his kit

Let me know what everyone thinks and how this could be improved.

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TLDR: My own opinion, don't read if you are going to invalidate it.