Bix's observation of American elevator behavior is correct IMEE. (Bix, are you by any chance related to Mr. Beiderbecke?) You enter the elevator and turn back to face the door. If you are talking to someone, you generally stand next to them and turn your face, though it's possible you might angle your body toward the person if there is a lot of room in the elevator. I can't imagine turning sideways to face the person, with my body 90 degrees to the door.
Manche Aufzüge haben auf beiden Seiten Türen, da wird man nicht den anderen Insassen? Mitfahrern? den Rücken zudrehen, sondern auf eine der beiden verbliebenen türlosen Wände starren.
Interesting. To my knowledge I've only been in one of these elevators, in the senior living place my parents moved into a year ago. When you enter from the main entry and go down to the skilled nursing floor, you exit from the "rear" of the elevator. Usually there isn't anyone else in the elevator, so we go in and right away stand facing the "back." On my most recent visit, there was another woman in the elevator, and I wasn't sure where to face because I wasn't sure where she was getting off. When she didn't say she was getting off on skilled nursing, we stayed facing the "front door," only turning to get out the back when we arrived at the skilled nursing floor and the door opened. I remember that it felt awkward.