“Driver side rear door” or “passenger side rear door” are pretty common, at least in the US and UK, where they mean the opposite.
“Nearside“ (passenger side nearest curb in a right-hand drive vehicle driving on the left) and “offside” (driver side furthest from curb) are also used in the UK.
I've the vaguest recollection that sailing/steam boats used to say which side to move the wheel towards to steer; that begging opposite of the way the boat will go??
E.g. you don't call it the front/back door, you call it the bonnet/boot (or maybe hood/trunk depending where you're from) though that probably is stretching the definition of a door a little bit... but then you also have nearside and offside for passengers/drivers side, though that's probably a bit more of a technical term.
It is, but then so is the stupid "3-door" / "5-door" / etc. car classification, which is really 2-door / 4-door / etc. with the trunk being counted as additional door for some reason.