Does Eager Apprentice reduce the point threshold for Kai'Sa's Evolutionary effect?

With Eager Apprentice on a battlefield and Icathian Rain in trash, a player asked whether Kai'Sa, Evolutionary can play Icathian Rain at 7 points because Apprentice reduced its cost to 6.

Does Eager Apprentice let Kai'Sa, Evolutionary play Icathian Rain below your point total?