They're little sea puppies that are perfectly happy to cruise around while you swim with them. At least that's the grey nurse sharks we get in aus. The ones you're describing sound more like wobbegongs or similar. The grey nurses need to be in highly oxygenated water.

Grey nurses also used to have a rep as "man eaters" but that was just because of how they looked,not any actual attacks

The Bahamas you can do this, but you are absolutely correct, and I think they are like ranked 5 or 6 in human bites, something ridiculously high, because they are all calm and people get stupid, mostly divers from what I've heard.

They're normally docile, unless you get caught up in them while they're feeding

I totally forgot about those ....

Reef Whitetips are a good book, mostly harmless so Don't Panic.

Oceanic Whitetips - straight gangsters ... When they come rolling in on a dive it's ALWAYS gonna be more than one like you intha wrong hood cuz and thugs be comin up outta the shadows circling you, checking you out deciding if you a pussy ass or what. (Spoiler: They always eventually decide you are in fact a pussy ass ...aallllwwwaaayysssss)

I don't fuck with these at all ever, I get the fuck out of the water.

Oceanic white tips? 10ft long roided out aquatic honeybadger that can smell your fear from 40 miles away...and it has nothing better to do today.