Illaoi needs buffs to her late game, she has problems with her builds due to how her kit works.
She has 3 glaring issues that are super exploitable late game.
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If she doesn't build a LOT of damage to burst you down, she won't be able to kill you and becomes obsolete. If she builds more tanky then she does little damage and is easily ignoreable. She also is super reliant on landing E, ESPECIALLY late game because if she doesnt land her E and get her ult off, she is probably dead and there is nothing she can do about it.
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Her E being what makes or breaks her. If she misses it right when a teamfight will happen or is happening then she just lost out on about a ton of damage. She is so reliant on her E late game to actually have a guarentee slap from her ult that it isn't even fair for the enemy or her. She lands E then she has an advantage, especially if she has built damage. She misses E and is an immobile training dummy for the enemy to beat on.
3 and the biggest one I've noticed. Her ultimate is so reliant on hitting multiple enemies with it that if you don't land a 3 man ult plus E spirit then you're not going to be doing much. This is why she has to land flash ults to have a chance at beating the enemy and catching them by surprise.
I know how to fix this, 2 things should be done.
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Reduce her E damage transfer by removing the AD scaling but compensate by reducing the penalty of multiple tentacles hitting a champion at the same time. So if one tentacle deals 100 damage but two together deals 150 damage, the buff makes it now deal 175 damage.
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Rework her ult to no longer spawn tentacles based on enemies hit by it. Instead have it spawn a flat amount of 2/3/4 if she hits an enemy champion and to automatically slap towards an enemy champion inside the zone. If a spirit is inside with an enemy champion then the tentacles only slam once targetted at the champion, not spirit.

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/ lethality items / triforce as needed depending on the enemy comp.