The conditions xrayalpha quotes means that if a pilot lands without prior permission, the airport operator will be uninsured, and potentially liable.
Once again, no...the quoted conditions appear to be from an airCRAFT insurance document, not an airPORT one. Hence, the aircraft would be uninsured, but it has no relevance to the airport.
I hope you read NOTAMs and the like better than you read some of these posts; could be a safety issue otherwise...