Actually, what drove Kaine murderously insane were his memories of being Spiderman (and the pain, creator rejection, and deformity). Having nobody else's memories...not knowing what schlub student Professor Jackal stole the DNA from...not knowing where his urge to nobility came from...would make Kaine feel more like a person.
But if he did know, I don't see how that would change anything, since he always knew. Unless he remembers the unmasking. That would seem wierd to him.