They have Nog and Leeta, I can't see them not having Rom.
Here's a screenshot of Bashir.
Based on the shape of the screens and lights on the wall, I think he's at his desk in the Infirmary.
According to an interview he did with Mein-mmo.de, Siddig does play some Online Games, and names his characters after Bashir, but with the letters rearranged into an anagram.
He's never played STO though, stating that he's already a character in the Star Trek universe as a reason.
https://mein-mmo.de/star-trek-star-nie-star-trek-online/He hasn't been in yet to do his STO work so he has nothing to say about that.