I don't believe they could hide the deaths of the sailors for any appreciable length of time, but I believe they could easily hide the circumstances surrounding a few deaths and intimidate a couple witnesses. The military isn't even obligated to announce how its troops are killed.^["The US military officials did not provide details on how and when the troops lost their lives or sustained injuries." https://www.dw.com/en/us-confirms-american-troops-killed-wounded-in-iran-clashes/a-76177887]
A hypothetical
Imagine Private Johnson being told that if he speaks about what he saw that he will be court-martialed. He can't tell anyone on the outside during his deployment because all communications are monitored. When he gets back home, he has three options:
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He goes on the record to the media with his story.
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He tells someone in confidence, with the stipulation that they not reveal who told them.
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He says nothing.
In case #1, he goes to jail. In case #2, without any attribution, the story becomes hearsay. A rumor. Which is exactly what it is right now.
This is a matter of opinion that is highly dependent on worldview and unlikely to be resolved by debate.