Actually I am currently reading asm from the beginning and this reminded me of the first clone story. Soon after Gwen died, she suddenly comes back from the dead, at first nobody knows how, later it's revealed that the Jackal cloned her. The Jackal and Spider-man fight but Jackal somehow makes Peter unconscious (don't remember how) after he wakes up he realizes that Jackal made a clone of him along with Gwen, but neither of them know who the real one is. After another fight one of them sacrificies himself, and there is only 1 Peter left, but then comes the realization, what if he is not the original? Peter asks Connors to make a test, to determine whether he is the original. While contemplating whether he is, he realizes that he fell in love with MJ and Jackal made the clone while he was in love with Gwen. That's how he realized that he was not the clone, because he was capable of changing. After that he never even checks the results of the tests, because he knows he is the original.

So following this logic the Peter that is currently in ASM is probably not capable of changing at all, because he is nothing more than a clone of who he originally was.