Plain vacuum mounting is basically a glue or adhesive process. Vacuum HEAT mounting is usually dry mounting. In either case you've got a big press that takes up a lot of floor space. The heat versions use gobs of electricity, and you may need a special electrical service for the big ones like 60" plus. You also need a vacuum pump, chuga chuga chuga.
The vacuum sucks out any air stuck under the print which is the big plus for these devices. It also puts huge pressure on the art package for great bonds. In the case of heated dry mounting the vacuum arguably draws off enough moisture to ensure a good bond without a separate anti-moisture heating pass without the tissue, but there are dissenters about that. The vacuum also speed dries the glue in the non-heated versions. There are special glues especially for vacuum mounting. The whole vacuum-heating-cooling cycle tends to be a little longish compared to traditional dry mounting, but the compensation is that you can do a whole bunch of pieces at once on one of the big presses.
If you are mounting lots of paper, or if you are dry mounting RC, these are nice toys to have. Biggest problem is that they tend to become work tables between uses and that generates a whole new set of problems. Second biggest problem is you can not mount in sections, the physical size of the chamber defines the biggest art you can mount.
I have heard that a heat vacuum press can fix bubbles under adhesive mounted prints, but have never tried it.
I had a chance to buy a nice 40 x 60 vacuum heat press for peanuts, decided I couldn't spare the floor space.