Hi:
Cooperia is currently regarded as a synonym of Zephyranthes and is basically a North American genus.
Pyrolirion is a good genus with spoon shaped stigmas and the bract shaped in a typical form. No great differences among this Pyrolirion albicans and the other species in the genus. Creating a new genus for a different color is ridiculous. As things are, Pyrolirion is a valid genus separated from Zephyranthes/Cooperia/Haylockia and Habranthus.
Best