If you do get rid of a designated drying area, I think you will find it much harder to enforce any policy the building might have about drying washing on balconies (not that I have any problem with people drying clothes on balconies). As people try to be more energy efficient and reduce costs, you might find demand for open air drying goes up, not down.
I would be reluctant to lose an air-drying facility unless there was a replacement somewhere else. You mention the cost is $10,000 to reinstate the drying area. How many are in the building? If there are 100 units, that is only $100 each to retain what I expect is a useful facility.
On the other hand, roof space is a valuable asset these days. Perhaps owners would prefer to make it a recreational area with pizza oven, BBQ and seating or it could be covered in solar PV or it could accommodate solar hot water to pre-heat water to reduce costs for gas or electricity or it could have raised beds for a community veggie garden.