This somewhat depends on the size of the hot tub. Very big hot tubs (for example, a Hot Springs Grandee) weight near (or over) 6000lbs when filled. My Grandee had to rest on a reenforced deck or a concrete slab and nothing else, including those puzzle-piece spa pads.
Talk to each dealer about installation options for your tub. My guess is any spas except really really big ones will be OK with what you have suggested.
-Ed