ATCO 2
Firstly, if its only one helicopter, I'm sure one of the approach controllers can handle a single SVFR clearance! If not, then perhaps its more than the odd heli being inconvienienced?
Secondly, perhaps the heli operators could ask for a scheme similar to the Solent zone, where the controllers have suddenly got a lot more helpful since they have had to give written explanations for any denial of a clearance to enter controlled airspace.