The Telltale game (I haven’t played it yet) seems to be based on Drummer from the TV show. TV Drummer is radically different from Book Drummer. Book Drummer, certainly in the first six books, is a very minor presence, as the security chief on Tycho Station. TV Drummer is a composite of several book characters.
IIRC, there’s a bit of minor head cannon involving Book Drummer and “The Butcher of Anderson Station”. That might be referenced in the Telltale game, since it’s a prequel for TV Drummer.
“Someone told me I need pipes for the website. We need to get the best pipes. Do they come in gold plate?”