User blog comment:Emptylord/Sandbox/Random Mutation/@comment-4948122-20130830085416/@comment-3974211-20130830091607

Riot isn't "no randomness allowed", merely that power shouldn't be distributed randomly. You've got Thresh and Twisted Fate's passives. Triggering the mutation may be random, but the effect is permanent and thus is reliable/dependable/accountable.

I'm not sure how the point system would work though - unless you mean to propose that it's like Bonetooth Necklace where you "unlock" mutations at specific stages. If that's what you meant, it's hardly appropriate for a mutation-themed champion.