I've been coaching a long time. I've known coaches who do and who do not. I have also known girls and boys head coaches where the girls coach rides the bus to the games and the boys coach drives, and they switch on the way back.
I've got a mentor that I look up to. He coached softball in Ky for 20+ years has multiple state titles in slow pitch and fast pitch, has won over 650 games. He always made his players ride back from games, because it gives the players and parents time to cool off after a loss or if they feel their child has been wronged. I have never really thought of it that way until we discussed it one day, and when I become a head coach I will have that rule because it makes a lot of sense. Plus the team should be there for each other, whether it is after a win or a loss.