I do not claim to know what I am talking about. These my assumptions on the subject and I may be way off base, I usually am ;-)
The real question is how does the depth of a shell affect frequency and sustain?
I would think the more wood = less sustain because there is simply more material to vibrate and more material to absorb the vibrations and dampen them.
It seems to make sense to me that a shorter shell would resonate more but at the same time it would produce a weaker sound, less punch. This is what Power toms are all about, they tend to have, well, more power then a shallower tome and cut through the mix more.
I know that the deeper the shell the more force is needed to move the same amount of air as a shallower shell.
I do know the thicker the shell the higher the pitch.
since you mention John Good, according to him, there are two things that happen when you strike a drum.
1, a column of air move down the shell and 2, the shell begins to vibrate from the top down. The whole theory about FAST sizes is that the optimum depth of the shell is the one that allows both the air column and the shell vibration to reach the reso head at the exact same time.
I will try an experiment but I will be a while before I can do it since I still need to sand before I can refinish ;-( . I have a set of standard depth and power depth vintage TAMA superstars. I will try putting the same heads and using a torque tuning key tune them exactly the same. Then I will know the answer for sure ;-)