I think that If the airport is not closed and there are no safety-related factors involved, ATC will clear aircraft to conduct the approach as usual.ATC’s responsibility is to provide separation and they do not take approach bans into consideration, nor do they prohibit pilots from making an approach.(due to weather} As for the pilots, it is their own decision whether to continue the approach or not.
(There is no prohibition on the commencement of an approach based on the reported RVR or VIS. The restriction applies only if the RVR or VIS is reported and applies to the continuation of the approach past a point where the aircraft is 1 000 ft above the aerodrome elevation)