Will changing 360 Gamertag make me lose my zealot suit?

Well? Will it? Has anyone else who got DS2 collectors edition ever change their gamertag on 360 and had their redeem dlc zealot suit (or anyoany other content) lost? I'm considering changing my name but I'm wary of what might happen to my suit.

Also, what if I got a new Xbox 360 and switched my profile to it? Will my suit still be accessible? There has to be someone out there withwwith zealot suit whodwho hasthas before