What is the test for validity of the acts of the US states of insurrectionary states during World War II?

87. The general principles and concerns which underlie these cases are best stated by Mr. Justice Field in Horn v. Lockhart, supra, at pp. 580‑81: We admit that the acts of the several States in their individual capacities, and of their different departments of government, executive, judicial, and legislative, during the war, so far as they did not impair or tend to impair the supremacy of the National authority, or the just rights of citizens under the Constitution, are, in general, to be treated as valid and binding. The existence of a state of insurrection and war did not loosen the bonds of society, or do away with civil government, or the regular administration of the laws. Order was to be preserved, police regulations maintained, crime prosecuted, property protected, contracts enforced, marriages celebrated, estates settled, and the transfer and descent of property regulated precisely as in time of peace. No one that we are aware of seriously questions the validity of judicial or legislative acts in the insurrectionary States touching these and kindred subjects, where they were not hostile in their purpose or mode of enforcement to the authority of the National government, and did not impair the rights of citizens under the Constitution.