Yes, the rigid cell walls largely maintain their shape as they dry out. I expect there's some size changing at a cellular level, the wood itself changes size considerably as it dries, especially across the grain.As the cells dry out, they retain their shape excepting most cedars, many becoming chambers filled with air, because trees do not exist in a vacuum.
The question is, what affect do these small chambers have on the resonant characteristics of the wood?
The chambers left by the rigid cell walls would make very effective sound insulation (think styrofoam) to block, absorb and deaden essentailly all waves that are less than twice the size of the chamber (the cell). Plant cells generally fall in the range of 10-100 micrometers, so...wavelengths in the 0.02mm range and smaller. Apply that with the speed of sound (for convenience I calculate based on 20C air) we'd get wavelengths of 17,150,000Hz. The chambers would have no effect on longer wavelengths. The generally given maximum frequency humans can hear is 20,000Hz, so this is not something we're going to hear anyway.
The wood's chambers being filled with air vs. water DOES have an impact on the resonance of the piece of wood as a whole--because it changes its density, the speeds of sound within the wood, and also the hardness/flexibility of the wood.