Maybe. Or imposing ATC-defined weather minima on ops in such areas, as is the case for Class D zones. To answer those that say this places too much burden/power on ATCOs who can't account for local variation in e.g. cloudbase, it could be backed up with more weather recording stations transmitting data to the relevant ATC unit e.g. ceilometers/transmissometers on the roofs of key buildings?
The "ATC-defined" minima in class D are applicable to arrivals and departures only, not transits, for good reason. The "ATC-defined" weather is observed at the airport, not over the whole of the zone.