If you ring the CAA they will not authorise a particular individual GA service flight and will re-iterate their right to prosecute transgressors.
For the simple reason that it is not up to the CAA to authorise flights. It's down to the DfT. The CAA only take action if they see a blatant transgression of the law. DfT GA policy is guidance.
As I've posted on here before. I've had personal dealings with AOPA/CAA/DfT/Welsh Government to get my aircraft to and from maintenance. None raised any objection to my plans so long as I had carried out a full risk assessment and had taken the decision to operate as a personal one. So long as I thought the journey was in line with current policy then it was up to me.
The one thing that the DfT and Welsh Government made clear is that their policies are not finite in definition. Flexibility in interpretation is to be expected and encouraged. Abuse and circumvention however is not.
I have two maintenance companies telling me I'm currently able to fly into them for work under the premise of accessing facilities that are open and also obtaining vehicle service. (Vehicles have previously been defined as 'any form of motorised transport' under Corona legislation.
The authorities will not 'authorise' your flight. It's your judgment call to make it. However you will be expected to justfify your decision if so challenged at a later stage.
No doubt our two resident 'experts' who seem to have also had personal contact with the authorities will tell me I'm wrong.