Yes, I should have separated that a bit. From the ADS site, they are slightly different in their definitions.
Cold Morning Opener:
An informal term indicating that a daylily opens completely even when temperatures are low. The actual temperature that determines a CMO is not defined; having a series of cool temperature nights is also a factor. CMO is more of a concern in temperate regions.
Early Morning Opener:
An informal term used by daylily growers to indicate a cultivar with flowers that fully open early in the morning. This trait is particularly desired by daylily growers who work during the day and wish to view their daylilies before leaving for work. Some nocturnal daylilies can be mistaken for EMO's but their flowers actually open the evening before and are open all night.
My nights are cooler during summer than many hybridized in the more humid warmer states so I appreciate both.