@b789
If the signs communicated an offer of a right to park in a marked bay in return for some consideration from the driver, and included a prohibition on parking outside of marked bays, all things being equal, that would be a valid contractual offer. The point is that no such offer is communicated in any meaningful sense to any class of person who was not a permit holder (and presumably not to permit holders either)
You appear to be arguing that any breach defeats any offer, because the relevant clause was itself prohibitive. That would be very inaccurate.
The fact that the signs clearly prohibit parking on the walkway does not make them entirely prohibitive - it is the fact that no offer is communicated to the class of which the driver was a member which means that there was no offer (and that the signs were entirely prohibitive).
@OP - are there any other signs purporting to offer any right to park within the car park, and particularly at the entrance?
The only signs are the ones I originally posted.
As an aside I emailed the company that was being visited to see if they could do anything, even stating that a competitor would be used in future if the parking conditions continued. They said they couldn't do anything.