I realize this might be a silly scenario, but suppose that nine of the storage units in the Wooden v. United States case had been rented by Supreme Court justices. Then all of the justices might have a conflict of interest in a case that was presented before the court. What would happen in this scenario? Would they just have to let the lower court's ruling stand?
(If I understand this rule correctly, if four justices had conflicts of interest, the court would lack a quorum. That's more likely, though admittedly very unlikely.)