Went diving years ago at San Francisco reef in Cozumel. Our guide carried bits of fish with him to hand feed the moray eels and urge them out of their hiding places so we could see and photograph them. Definitely would not want to be bitten by one but they are pretty and graceful to observe.
I experienced the same in the Keys and this one was quite docile. It was about 6-7 feet long and wrapped itself around me and let me pet it as it swam around me, probably wanting food. Once it’s around you, what are you going to do? If they bite, they don’t let go until you relax.
Another world down there.