“I haven’t seen a wheel that can be installed in anything but one position for a long time now.”
I’ve seen plenty of those, where all the splines were identical, and no markings whatsoever
One thing the OP needs to realize is that any small amount of play in the suspension or steering components is going to be magnified and made worse at the wheel circumference. Someone doing an alignment on the rack can get it close.
The issue is that it’s not going to stay on “close”. The alignment is going to wallow around all the time to some degree depending upon what is worn and had badly it’s worn.