Single Spey
If your airport is located in Class G Airspace you are being paid to provide a service outside CAS, fact of life. If your airport has the protection of CAS you are paid to provide a service to your arrivals and departures and transits. You are not (unless designated as LARS Unit) being paid to provide a service to aircraft outside CAS and remaining outside CAS.
Why would any ANSP want to provide a free service to this traffic and chance censure if something goes wrong? What better way to mitigate a safety or business risk, than remove it?
Does not the CAA have a duty of care to provide service to aircraft outside controlled airspace, especially under the conditions that you describe? Why should ANSPs provide it free and accept liability for it?