If Kayn shadow form had access to ap scaling, he could access zonyas for survivability.
I agree with everyone, the darkin form seems better. I think the problem with the shadow form is you have easy access to the backline while having less defense. The result is usually death after ulting a squishy because you find yourself deep in the enemy line with no back up.
Now if Kayn shadow form had some additional ap scaling, he could build ap and access zhonyas. Not to mention lichbane.
It would also be a clear advantage over the darkin as shadowform would be a hybrid champ. It would also be the first transforming champ to access additional ratios mid game.