It would be handy for me if the little stub had some more information: when the plane is scheduled to land. When I have connecting flights there's usually a point when I'm in the air thinking about whether I have time to do such-and-such before I have to board the next flight, and I can never remember when the arrival time is meant to be. It would be nice not to have to look this up on my phone or in my own notes.

In the same way, there could even be information like "You have 48 minutes before your next flight (BA55)" or "You need to change to Terminal C for your connection".