Would you mind summarising your question?
I'm afraid your view is wrong.
You don't have to sign a contract. Rarely do people actually sign contracts. They are accepted in other ways. This is settled law now.
They very definitely do have rights of enforcement and they have six years to sue.
Whether they will or not is another matter.
Can I clarify anything for you?
This isn't road traffic.
This is a breach of contact. Case of Beavis.