well, sort of....
The most important factor in the sonic qualities of a solid body electric guitar is the rigidity and resonance (or lack thereof) of the whole. In fact, a more dense and rigid, less resonant guitar will tend to have more sustain because of the knock on effect of not absorbing too much of the string's energy, and not trasnmitting any of the vibration to the pickups, where such vibration would compromise the electromagnetic process of picking up the strings note.
This is why carbon fibre, through neck guitars such as the tiny cricket bat shaped Steinberger guitars tend to sound closer to a big chunky Les Paul, for example. And why big body semis actually have quite a boxy, reedy sound by comparison.
If the construction techniques and rigidity of the materials in this guitar are suitable, the actual size and shape of the thing doesn't mean a damn.
I for one am more than a litle curious.