Funny story
I once had a similar situation, flying into LAX, we had to go around, I already had a tight connection, and this was a flight I had been changed to at the ticket counter etc etc... So anyway I am all stressed out thinking I am going to miss my connection and have to spend the night etc, long story short turns out the plane I was trying to catch was the one I was sitting on o_O. So I ran out into the terminal (after everyone stood up and didn't let anyone with a tight connection off the plane first like the flight attendant asked for), thinking I am going to miss out, and I pretty much just turned back around and walked on the same plane. lol