Aatrox's untargettability or CC immune during Q wouldn't be a problem, as it doesn't have 4s CD as Fizz's E.
Aatrox's problem is that he doesn't have enough CC to be a tank, enough dmg for a melee carry not enough base stats and damage to be a bruiser, he has barely any identity as a champ.
When i read about his lore i thought of a tank champion with Auras to buff his allies and with a good initiation.
What we got is a masochist and selfish champion that is subpar on everything he does, the only real thing he has it's the sustain, which is partially there to actually OFFSET the fact his real HP pool not only is small because of base stats, but also because he continuosly damages himself HEAVILY to just use some spells.
Also, his passive is useless in teamfights because you restart without any bloodwell, which when full it's his only non ult steroid, since his dmg is almost exclusively done by autoattacks, completely wrecks him.
The last buff is nice but he needs a rework, he actually needed one after he was released in my opinion, i had high expectations and was left completely upset.
I really wish he would be turned into a Ally buffing initiation tank, it fits his lore so much, he was not winning wars alone, he would just take the losing side and inspire them to turn the tide of the battle.
I laugh and feel sad everytime he yells"NOW WE TURN THE TIDE" and all he has got is a steroid for HIMSELF and well, uhm, a bit more range on his AA that does absolutely nothing for being kited and that's it.
He says WE but he does, or he attempts to do things just by himself.