I've got a Minoura mag trainer & it's the rim drive type so it doesn't matter what kind of tires are on the bike.
I also recently upgraded from a Hardrock to a Giant Trance & thought I'd better check with giant in regards to using a dually with a trainer. They said it was fine as long as you use the front wheel chock to keep the bike level (means no unnecessary load on the suspension).

Unfortunately I don't use the trainer as much as I should (got it due to being tied down with the kids) as I much prefer to ride out on the trail!