Generally no, but usually part of the sign-off procedure is to show the product to Marketing and Sales and possibly finance, where a set of test results won't impress. A listening demo will be a lot more convincing, and anyway, it's always possible that a measurement was made incorrectly, and/or a fault has occurred, so a listening test as a final 'reality check' is sensible. What I don't see as sensible is designing by ear, changing stuff and listening to the results. That to me is a total nonsense, although is ostensibly the method used by some boutique manufacturers, especially some Japanese valve gurus, and one or two UK manufacturers.
S.