Jack Cee echoes my view that the 77 is much more agressive. It's my choice for hand-mounting (no press) and some fabrics or other unusual textures, but the Vac-U-Mount is optimised for the vacuum press: because it's not sticky, the paper being mounted has a chance to smooth itself out as it comes up against the glass platen. You can watch it happen.
The real beauty of Vac-U-Mount is when you have a multiple-opening mat and you want the technical and time-motion advantages of putting all the artwork on one substrate, in one trip through the press. Again, because the work's not too sticky, you can use the mat as a positioning template and futz around for several minutes getting all the elements placed just so. When the mount comes out you slap the mat on it and you're good to go.