I prefer the folding tires for two reasons. First, should I need to carry an extra tire with me (if on a multiple day tour, for example) it is easier to carry. Second, I mount and dismount my tires by hand without the use of tire levers. I find it much easier to do this with non-wire bead tires. Wire bead tires can be, IMHO, more difficult to mount.
__________________
A conclusion is the place where you got tired of thinking. - S. Wright
Favorite rides in the stable: Indy Fab CJ Ti - Colnago MXL - S-Works Roubaix - Habanero Team Issue - Jamis Eclipse carbon/831