All-way stop signs are so ridiculously inefficient. It's no wonder people ignore the rules.
People can be incredibly cordial when there aren't any problems or one big common one they can focus their efforts around. It isn't until personal liability enters the equation that the finger-pointing gets going.
Reason being, given that this construction is expressly prohibited in many (most?) jurisdictions, there's clearly no right-of-way rule for such a combined intersection that's universally understood or taught, and I can think of several "reasonable" candidate rules that drivers would invent on-the-fly upon first approaching such an intersection.
As an aside, I'd personally assume that such a "all-way combo" intersection would essentially devolve into an all-way Stop in any case where traffic is either approaching or stopped at two or more cross directions, if only because this seems to be the rule least likely to fail catastrophically against both itself and a variety of other rules.
Does anyone know of any jurisdiction that permits this sort of intersection, and, if so, what the right-of-way rules are there?
No, traffic one one road has the right of way and traffic on the intersecting road has to yield the right of way.