I don't even pretend to understand the time paradox stuff. Though the thought occurs that in Jesse's future, maybe there is no John Connor: he's a myth created by the independent Terminator faction who are secretly the ones running the Resistance.

I do, however, remember that when she was first introduced, Weaver said that her dream was to create an AI that would cross against the traffic, break the rules. And the moment John Henry said "I can break the rules", all hell broke loose...