gnome-terminal integration with screen would provide a powerful terminal environment.  gnome-terminal could utilize screen as a terminal back-end and connect to existing screen processes to manage terminals, allowing users to close terminals as with screen.  Further, gnome-terminal integration with screen may lead to features like scrolling when running screen.

Using screen as a terminal back-end provides the core of this feature request.  gnome-terminal should look for an existing, live screen session owned by the user when running, and create a new screen under that.

An instance of gnome-terminal should allow the user to select from a list of screen sessions and attach to screens under them, or create new screens under them.

gnome-terminal should share screens (screen -x -r).  This will allow users to connect to screens already open on an ssh connection or by another gnome-terminal.

gnome-terminal should integrate with the screen buffer and allow full scrolling of sessions running under screen.

gnome-terminal should allow non-screen tabs still, as terminal behavior under screen does not match terminal behavior under xterm or linux terminals.