Can a DS post photos of a trainee engaged in a training event on their personal social media page? Any regulation recommendations for this?

Army Times regularly post DS and Trainee candid photos. As long as it's some his mother (or any other mother) wouldn't object to then its not inappropriate. My own mother thought they cussed too much but then I guess Dear Old Dad had never cut loose within her hearing. Of course she generally stayed out of the garage or had never been there when a wrench slipped.