In my experience, traditional grip seems to be largely prevalent only in marching and jazz drumming, with marching snare drum, of course, being the origin of the technique. (As it so happens, I learned traditional grip first because the first kind of drumming I ever learned was marching snare, but I rarely ever use it anymore, I prefer matched grip for almost all applications I've encountered as a rock drummer, but that's probably entirely because I play a lot of rim shots, and I find those very challenging to do with traditional grip.)
as long as the snare is aligned right, i don't think there's any reason for the rim shot to be more or less difficult with either grip, except the main reason it will be better with one or the other is because it's what you're used to or just what you like better