Giving control of permanent

[Poof]

Say I enchant a player with {curse of bloodletting}. Then I use the commander that can gift control of permanents, forget the name, to give them control of the enchantment they are still the enchanted player and I would receive the benefits from {zedruu} I think that's the name, right?

[AgrusKos]

{Zedruu, the Greathearted}. And yes