You obviously feel you should get your money back, and although your initial post was in the form of a question you don't appear to like the answers. But even if everyone had said 'yes, you're right - go for it", what would you do? You won't get legal advice on here, and if you really expect to be able to sue the mooring operator for a refund you will need to go to law (unless you hope that a whole band of CWDF people will go with you to the site armed with cudgels 😟). There's certainly little point in getting stoppy about the replies.
Your assumptions about the Land Registry proving that the mooring was illegal in some manner are simply not valid, but you would get more reliable advice from a Citizens Advice Bureau, and they would be the people to point you in the next direction.
Tam