I can sympathize. I once missed a domestic to domestic connection on Delta in DTW. The inbound arrived late but it looked like I’d have enough time, so I hustled to the next gate. I got there a few minutes before departure time, and the door had already closed (10 minutes early, actually, according to the app). Aircraft was still at the gate with the jetway attached but... door’s closed, sorry, can’t help you. And I didn’t get auto-rebooked either - had to call for that. Considering they knew connecting passengers had just landed, you’d think they could have at least held the door until scheduled departure time rather than closing early.