I am grateful to your husband for his service. I agree with his sentiment.
You are correct, secrets should be kept. What I was responding to is that once this Petty Officer is arrested, this becomes a matter for the courts, and the veil comes off. Methods and practices can be protected, but not court docket entries, charges, hearings, and general court proceedings.
The US has been quite successful prosecuting spies without giving up secrets. This case is no different. Hiding the sailor's charges and identity only makes the whole thing look shady.