The woofer should move, but no other part of the speaker! :) I think that it matters to some degree. A woofer exerts tremendous force on the cabinet. Any flexing in the front baffle could lead to Doppler-like effects as well as additional, unintended sound sources. The ideal speaker's output is ONLY from the drivers. This is different than a musical instrument where the strings or membrane AND the body resonate together.
MDF is cheap though. :)
Best,
E
MDF is cheap though. :)
Best,
E