Contrary to convention, I enter with the Green lights on my left because of the rotation of the station. I feel like the slot is rotating towards me with the green on the left, versus feeling like I'm chasing the slot with the lights on the right.
I also put my lights on as if they are some form of docking signal.
I enter on the green side as well, or as close as I can to it. Depends on the ship. I generally try and match my orientation to where the pad is.
I can confirm that this adopted rule is not based off of maritime rules of the road. If it was, we'd be entering on the red side (red, right, return) and leaving on the green side.