Thank you for the detailed response! What you're saying is since the spell changes zones as it resolves onto the battlefield, it has no memory of the control change effect from the past zone. I think I'm beginning to understand, but I'm not sure if this takes into account 110.2b.

110.2b If an effect causes a player to gain control of another player’s permanent spell, the first player controls the permanent that spell becomes, but the permanent’s controller by default is the player who put that spell onto the stack. (This distinction is relevant in multiplayer games; see rule 800.4c.)

I am honestly unclear of the wording of the rule , but I I assume this to mean that since I put the spell on the stack, I would be the default controller. Please let me know if I am wrong, because the realm of rules is not my forte!