Nice analogy, but a little misleading. Having designed 50 or more commercial speaker systems I would clarify it by saying ... greatly influenced by the cabinet - mainly by the form (size) and by the rigidity of the materials of construction.I'll use my old analogy. Think of the drum shell as a speaker cabinet, and the heads as the driver cone. It's the driver cone that produces the sound, but the sound delivery is greatly influenced by the cabinet - not just the form of the cabinet, but also it's material of construction.
And while I’m thinking about it, I’m gonna guess that a speaker cabinet influences the cone speaker by several orders of magnitude more than a “normal” drum shell does a drum head.