Although perhaps technically correct in your description, this statement is very confusing and potentially very wrong. Are you saying that for any given driver, the cabinet design has nothing to do with the volume specifically? (In which case I might agree with you - since a speaker without a driving current will indeed be silent no matter what the cabinet).
Or are you saying that the cabinet has nothing to do with how loud a speaker can be - in which case I disagree completely! With any given driver, the cabinet has probably more to do with how loud that driver (at any given power level) will be than anything else. This is exactly why horn-loaded designs are so much more sensitive than sealed or ported bass-reflex designs.