I do printing at home on my little C+P tabletop and work part-time at a small shop that prints on C+P platens and Vandercooks. From my own experience and from reading the Letpress mailing list and the discussions at Briar Press, conventional wisdom has it that metal-backed plates may print a bit better but on cylinder presses have a tendency to drift, while adhesive-backed plates stay in place better. I know many people use the adhesive plates for the highest quality work, so I wouldn't mean to imply that they don't print perfectly, just that I've read people say that in their experience the metal backed plates print better. Maybe they're more forgiving?
I've only have a little experience with both and would have to say also that I find it easier to place and adjust the adhesive-backed plates than to deal with placing and adjusting the metal plates, but that may be due to lack of experience. All the plates, adhesive and metal, that I've used have come from Boxcar.