As you noted above, inbound late, outbound also late. No problem. They do look at where the connections are coming from 98% of time and will hold the seat knowing you are "in the system". At the same time, I have seen people get off the plane, take their time to get situated, go to the bathroom, stop for food, call home, get a gift and then wonder why the airline gave up and left without them. Walk directly to the plane and you will be fine. They will be looking for you, especially since the bag team will be loading your bags as well.

Chances are, there could be someone else on the same flight trying to make the connection, and will be a few minutes later since they are in coach. You are in fine shape. Let us know how you did.