They're a salt/moisture trap, thus a breeding ground for rust. Get rid of them asap! Usually I have respect for original features, but this is one factory feature that should never have existed in the first place, and won't be making me shed any tears if rendered completely extinct. They discolored and shrank over the years, and now if they're not falling off, they're trapping water, salt, and grime and rotting the metal behind them.
I still don't have any photos since I bought my XJ (shame on me), but I got rid of mine and don't regret it one bit. I haven't really made an effort to remove the tape chunks/residue left behind because I'm going to be having some rather major body/paint work done this year anyway, but I've read that a heat gun and a piece of rubber hose to rub with will take it all off.
1983 Chevy El Camino
1994 Cadillac Eldorado ETC
1996 Jeep Cherokee Country
Wheels wanted to buy:
4 or 5 Turbines, old XJ 5-slot, or KJ 17x7.5 6-spoke
May consider KJ 16x7 5-spoke alloy
Paying up to ~$50 per wheel--Classified ad HERE
Have 4 (oxidized) Lace and 5 Eccos for potential trade