LOL, that's what I thought Kellyj. I had the advantage, in that I just finished my coffee when I read your post.
I'm certainly NO physicist (math was never my strong suit) but, it would just seem to me that the deep shell would form a long passage for the impulse of striking the batter head to travel through. That length takes time to traverse, not to mention all the increased opportunities for scatter and refraction inside that tunnel. The impulse column of air would take longer to arrive at the resonant side, and due to the distance may arrive spread out. That would result in an impluse having a long risetime, yielding a "mushy" response.
Whereas in a short depth larger diameter bass, the beater impulse has a short distance to travel (quick response of the reso) yielding a fast risetime waveform for a more pronounced thump.
If you take it to extremes. Suppose you have a 25 foot deep 18" bass (find a bag for that!) how would that compare to a 1 foot deep 22"?
Dunno if my logic is correct, just seems "logical" to me.
BH