ATC Watcher:
ATC is not in a position to do that. Only the Nelaese Aviation authority can close the APP. A controller never force you to do any kind of approach, it can propose one , but up to the crew to accept or not depending on their own equipment, its qualifications and its company minima. And it that include integrating NOTAMs changes such as this one .
I understand what you are saying, but when an approach is NOTAMed OTS because of a runway problem, then local ATC should be briefed to not use the approach for safety reasons, sort of like a closed runway.
At KLAX, for example, when they had a long term project to reconfigure the taxiways to accept the A380, the construction equipment didn't close 25R but it render the ILS unusable for months. Approach control knew this and cleared aircraft for the RNAV approach or if the crew couldn't do RNAV, they were assigned a different runway with a useable ILS.
Of course, this is academic at VNKT, the approach wasn't (and isn't) NOTAMed OTS.