When through the normal course of using a technology you reveal information to the government (in this case the military) they can use that information against you.
Having an embedded image from a third party server in an email is well within normal usage of email. Logging IP addresses of machines that access content on a web server is also well within the normal usage of that server.
I'm also not sure what the journalist is afraid of in this case. Your IP address reveals almost nothing about you beyond a rough physical location on its own. Considering the Navy sent this email they already know WHO the recipient is. From an editor or authors name I could most likely find what city they live in with no extra help beyond Google.
There absolutely isn't anything illegal or even suspicious about this. If you want to go absolutely crazy mad with paranoia maybe they could collude with another federal agency to tap that network connection... but that is INCREDIBLY unlikely for this.