No way!! Sometimes you need to descend slower.
An emergency descent is at the max "appropriate speed". If there's a big bang that might be relatively slow but it might also be Vmo. Judgement Captain!!
Were there to be structural problems, known or suspected, the descent speed would be slower than Vmo.
Your (small) ace is to turn to your diversion airport during the emergency descent when close to DPD.
It's called "airmanship".