If nothing happens with it plugged in and running there would be no need to start it with it plugged in. I was thinking I would cool the car off on grid power.
OK, I think I read your post wrong, you're talking about driving up and plugging it in while running.
I never do that. I've been turning the car off when I get home then waiting a while before plugging in.
Like let the battery cool before starting charging. But then if it's a hot day it might be better to plug it right in after I turn it off so it can run the fans etc.
Vexed and mythed.