Subject: Re: The specail counsel's report
Which is basically what James Comey did that led Rosenstein to recommended firing him.

Not really. Rosenstein said that Comey shouldn't have held a press conference to announce a non-prosecution decision, since the FBI Director isn't the government official that makes that call - that's the prosecutors' job. He also said that it violated department policy to release derogatory information about the subject of a declined criminal investigation.

Neither would apply to Hur. It's part of his job to issue a report on his investigation and outlining his recommendations. Unlike Comey, he never had the option to just say nothing - the special counsel is required in the statute to provide a report outlining his prosecution or declination decisions and the reasons for them, in a way that the FBI Director most certainly is not.