Wouldn't the name on your tag match the name on your AAdvantage account?

Yeah- they are more for display, IMHO, but AA could name-match if a lost bag is in their control. Then again, I'd assume there are plenty of lost bag problems w/ name and contact info tags attached.

I put my Admirals club tags on my bag when I first became a "member," but then I realized that I didn't care about displaying to the world that I spent a few hundred bucks to join this exclusive club.

I still use my EXP and BA blue tags (why would BA, of all airlines, give tags to non-elites? I have no idea) on different bags, and in a lot of cases one of them is the only external tag on my bag.