I seem to remember reading somewhere (eons ago, lol) the PRR did it the opposite of most everyone else but which way they did it is a tossup.
An articulated could have the front set quartered one way and the rear set quartered the other. Be weird and I seriously doubt any were ever done that way but unless I'm missing something (entirely possible of course) it would work.
Hummm - wonder what effect that would have on the operation of the power reverse system.
Ben