Warlock Aspect of the Moon, so when he hits 0HP does he still fall unconscious?

@JeremyECrawford We hit a snag last week that I can't find details on. My Warlock has Aspect of the Moon as an invocation. So when he hits 0HP does he still fall unconscious? We still did death saving throws, of course, but is he actually OUT while I do them?

— Dessava, the Palalock (@mintka_boom) March 19, 2018

Aspect of the Moon removes your need to sleep. It doesn't make you immune to the unconscious condition. #DnD https://t.co/cNnvOSyBA1

— Jeremy Crawford (@JeremyECrawford) March 19, 2018