Nowhere in any article did it state the HOA confirmed her membership. The HOA office was likely closed due to the federal holiday. If that is something that came out later, Mr. Bloom had no access to that information AT THE TIME this was occurring.
Unless one is a bigger badder law enforcement officer who can play "my badge is bigger than yours", one does not argue with law enforcement officers when they make a wrong decision. One accepts the decision if it is in any way tolerable, and one takes it up with their superiors or through a lawyer at a later time.