Navpi
Surely there is little point an aircraft diverting to an airport if there are no staff to handle it. That just results in bad press for the airport as they take the blame as passengers may not understand or care that ground handling is provided by a third party.
How we got to that point - with airlines wanting to pay less and less for handling has been covered so I won't cover old ground.
As for safety - any aircraft can and will declare a PAN if fuel is low and no airport I know of would turn them away. Any open airport would do so as safety is always the priority.