The Misadventures of PB Winterbottom/WMG

Percy is PB
Throughout the adventure, the player's antics make Percy misbehave more and more, in the end rejecting the moral of the story just so he can have pie. What if P.B. unknowingly ended up creating himself, Percy B. Winterbottom, through his time-traveling antics?
 * Whilst I did not notice the name connection. I did feel that there was a solid implication that Percy was a younger PB, I felt in particular the last level was PB reminiscing on his childhood and how he became such a thief.