First off i love the idea that gear is assigned to certian people i think its a good system but it is currently very buggy. (im sure you know this) but when healers are getting DPS gear and tanks are getting healing gear theres something very wrong. As the masterlooter i dont have the option to fix this. Either try to fix the issue for the wrong gear going to the wrong person or make it so the master Looter can hand the gear off to someone else if that person dosent want or need it.
I guess you don't realize, but the name on the token is irrelevant. It's good for any of the set items for that class (ie. tank, dps or healing set). When you go to trade it in take a look, the "1" next to the other sets will also be green enabling you to trade it in. It's the same with PVP Gear tokens.