Interesting-I agree with thinner shell, given same wood, has less fundamental note presence relative to overtones. But I think the forces transmitted through heads and bearing edges traveling down shell ,faster than sound waves traveling down the cylinder , will also impact stiffness/viscoelasticity of shell and heads so also sound waves travels/pushes/bounces against these structures-while it bounces around.
Because when you strike head some energy transmitted faster through bearing edge and shell that sound wave travel down it, that will preactivate reso head before sound wave strikes it and I'd argue stiffen reso to resist tundamental note as well as mass effects as video states. Wood is visoealstic and anisotropic-so it's properties vary per dimension, and mylar is also. It's porosity also impacts sound properties. But yes the idea is for the two membranes to move in phase to propagate/amplify the sound for longest fundamental note and its inherit overtones that produce the timber we distinguish as a maple drum my example.
I think a thin shell maple shell ,with less mass , will easily activate and absorb some of energy of fundamental note-but I think it's possible the shells can conserve some of that energy with a viscoelastic resonate phase that hums along to give impressions of longer note - I'd predict a "warmer" sound. I'd expect the overtones to be the same , thin or thick maple , because the overtones are the higher frequency note (1-2k Hz range most sensitive in humans )that produce timber we distinguish as maple drums. However thicker has smaller radius/less volume of air in column so pitch difference possible between thin and thick of same wood. A thicker shell has more mass to resist motion (and the inner wall radius is smaller which also resists forces more because law of Laplace) )so will act like a stiffer collar - so less sound wave energy lost in wall (more projection/attack of fundamental note and similar overtones. But I hypotheize/think the thinner shell could be biphasic-a fast stiff phase that resists fundamental initially and loses energy in shell motion (and a stiffened reso head), but then some of energy is conserved in viscoelastic motion of shell/head motion that phase locks and hums along to give impression of longer note in sound/air column. Though I admit stiffness and mass work fine-I'm just winging it with this hypothesis. It's more than talking heads-because I believe the shell obviously contributes something- dammit. LOL.