I agree that it's not possible for ATC to keep track of every plane and pilot and know who is qualified for what. But I am bothered by the fact that after two missed approaches questions weren't asked. Perhaps this is just an omission in the initial report.
The fundamental fact of the matter is that while coming back for a third approach isn't unheard of it is unusual.
WhatAstory to answer your question, atc should not need to ask the crew this, any professional crew when hearing rvr's well below their limits and the limits of their aircraft should not even attempt an approach, they shouldn't need to be asked.
That is cold comfort to the families of the dead. Very cold comfort.