I had a similar situation, but with the opposite outcome, at Woodhall South on the way home from Stockport a few weeks ago.
First of all I pulled up at a non-CCS stall
I quickly realised how that was going to end...
I checked where the two CCS stalls were, and moved over to them. While I was moving a Model X pulled in to one of the CCS stalls. I moved to the other.
Unfortunately the one I’d picked was broken, and by the time I figured this out the X was coupled up to the other one!
I went round to speak to the X driver, and explained he was now using my only available charger, and he immediately offered to move to one of the other stalls. A really nice guy.
This guy knew nothing about the difference between the CCS and non-CCS chargers. I think it would be a good idea for Tesla to send all owners an bulletin explaining the situation, either by email or on the car screen.