Do you close the charge port door against the cable so it doesn't protrude as much when opened?

Yep, that would be the prudent thing to do. It also blocks most debris string around in the wind from dropping into your charging well.

If you break your door, you won't be able to start the car - unless you bypass or fool the door sensor. Then you'll have to color match and paint your new door. A real PITA.

 

Yes, since day one. Especially if you have kids around; they usually don't pay attention to what they are doing. Since my charge door faces the garage wall, there isn't any traffic on that side of the car. Lucky me!!

 

I always close it up against the cable to keep it as safe as possible. It doesn't seem like it would take much to damage the door.

 

Yes always.
I saw an Audi charging with a flag door fully open ready to be broken. Then there is often denigrated Ford.

But not the Lightning.