Like the man locally who thought that because he paid for a "space" to the local council, he would be fine, however, if the land is owned by the council, then effectively it is public property and comes under the definitiion of a "road." (to which the public has access whether on payment or otherwise)
In the case I refered to, it was a residents street parking permit scheme. The council who rents the space cannot prevent the public from "access," merely penalise them for "parking" there.