I build acoustic guitars also and changes in humidity does change the shape of the wood so I get the concept.
I'm not a foamie guy so take this with a grain (block?) of salt --I'm speculating.
Since this is plywood... it shouldn't move as much as a guitar's soundboard. Plywood moves about 1/10th of what solid wood does.
But QB does have a point. It will move.
Me? I'm curious as to how you'll bond the plywood to the foam?


Tony