Let's rework Illaoi's E just a bit
Being constantly on your toes about avoiding one skillshot that requires 60% her bad aim for you to be able to dodge is stressful enough, especially when it means that you're guaranteed to lose a chunk of your health and are forced to run away solely to dodge her ensuing tentacles afterwards. So, here's my idea.
E - Test of Spirit Illaoi sends out an empty vessel in a target direction. If her next basic attack within the next 3 seconds hits a champion, large minion or large monster, the vessel is filled with the target's spirit, and Harsh Lesson's cooldown is reduced by 90% of its remaining duration, if on cooldown. Vessels are ignored by everything that isn't a champion or a champion-summoned entity.
How about it? It can be predicted and avoided, and Illaoi can put the thing where she would like it to most benefit her team whilst requiring her to actually go in instead of be one giant AD caster mage all game.