Does anyone know if the Artisan Tools have a higher drop rate than the Artisan Specs for Mastercraft?

I'm aware Tools can drop up to 3-Mastercraft, but it would seem logical that Tools would have a higher % chance considering the "chance" to get 3 demimateria doesn't really make up for the fact that they cost 5 times as much as the Specs.

Also does anyone know if the Tools give more desynth increase than specs?

I'm just trying to gauge how lopsided they designed desynth in favor of GSM.