I stopped controlling 20+ years ago but back then it was expected that anything related to the flight that would not be known by the next sector/unit would normally be coordinated - if it wasn’t you’d tell the pilot to report it on first contact. Watching current practitioners more recently, it seems like this is not so normal now. Chatting, I asked whether it was because there wasn’t time when it was busy, but no, just not done. That said, modern radar/FDMS transfer much of this information in the background if it is entered into the system.