Correct, the surplus lines disclosure does not nullify the compliance statement.
The "stamps" we find on surplus lines policies are crafted to alert us to the fact that the policy purchased (its terms, conditions, rates, etc) has not been reviewed or approved by the state, which also means the state does not guarantee loss payment in the event the insurer becomes insolvent.
Though phrases like "not approved to write insurance", "not authorized to do business", and similar appear in the stamps, that approval and authorization has to do with the business of the state insurance department managing *admitted and filed* insurance programs. These statements do not negate the terms of the contract, nor are they an indication that the policy itself is fraudulent, illegal, illicit, etc.