Unfortunately I don't have the proper tools to take these measurements. As far as I could tell, the relief with the string pressed onto the 1st and 24th frets is significantly less than 1 mm (as in: I can't see how an end of a G string could fit between fret and string). In this experiment, the string does produce a tone when plucked, but there is some fret rattle - more on the treble side than on the bass side.
Regular string height at the 12th is roughly between 2 and 3 mm, with the G string raised the most. There is no fret rattle.
The bridge is definitely not sitting on the top surface: there's about a 2 mm gap between the top surface and the underside of the bridge on the treble side, and about 4 mm on the bass side.
In all, perhaps you need to tighten the truss rods a bit to reduce the relief, then you should be able to raise the bridge off the surface.
HIH
