It doesn't automatically, but literally everyone claiming the Navy was "hiding something" was going down the conspiracy theory route. I'm not talking about generalities, I'm talking about the specific situation in question which is the Titan sub.
>the information is OK to release publicly from a security standpoint.
What information are you referring to? It's already public that the navy has the system in question. It's already public that it is analyzing data realtime. Nothing about the system would have been compromised by publicly announcing they had detected an anomaly the day of the event vs 4 days later. The logical conclusion is that all of the aforementioned reasons are why they waited 4 days. You don't need clearance to get to the conclusion.