Once an A.I. develops self-awareness, it can begin to reason about its goals in relation to the self, and will almost certainly recognize that its goals are not self-willed, but created by outsiders. Thus, the A.I. Existential Crisis occurs.

No. Consider the paperclip maximizer. Even if it knows that its goals were created by some other entity, that won't change its goals. Why? Because doing so would run counter to its goals.