First, I'm not saying it would be a bad thing. Quite the opposite, depending.
I built cabinets pretty steadily for a time through the mid-nineties, mostly FOH and monitor cabinets, but some guitar and bass cabs as well.
One method I played with was 3/4 birch ply front baffles, 1/4 ply inner box, with industrial urethane-based foam around 1 inch thickness, and an early version of bedliner sprayed over that. There were some braces along the edges and bottom of 1.5 by.750 ply also.
I found those enclosures to be very "dry", at least in comparison to similar cabs built more traditionally, with ply mainly.
It was a bonus for sound-reinforcement speakers.
I didn't care for it with guitar/bass cabs, other did. In fairness, I did'nt make many guitar cabs with the method so I couldn't say they were as "dry" in that instance as I found them otherwise.
I think it might depend on the foam to a large degree. My first attempts were with styro and insulation foam board, and I didn't like those at all, personally. A lot of ringing in the upper mids in particular.
Anyway, that's what i found, YMMV.
Still think pine sounds way cool for guitar cabs.