Cozumel was mentioned and a great example. In Cozumel, there are 2 approaches to dealing with the first diver who runs low on gas; either the whole group goes up (e.g.: I’m told Aldora does this), or the guide can send up an SMB and the diver (alone or buddy pair) can ascend (some other op.s). Aldora preferred its approach on safety grounds. A number of divers strongly prefer the latter approach.
Good point, with diving in Cozumel as something many of us can relate to. The ops I've dived with in Coz take the latter approach, i.e. send a diver up while everyone else continues. But the diver going up stays with the line that the DM holds (attached to his SMB.) So "early ascending" divers stay within sight of the DM and the rest of the group until they are at the surface and picked up by the boat. In that respect, no one is ever left alone (i.e. out of sight) at a safety stop.
There may well be 'standards' to some extent (though regional practices vary a lot; a dive boat out of California may do less hand-holding than one in the Caribbean), but I don't think those standards are necessarily what they're often claimed to be.
Every dive boat I've been on in California has done just about zero "hand holding." The crew fills tanks, checks off your name when you leave and return to the boat, and... ah wait: they do usually offer a hand (literally) when you're climbing the ladder back onto the boat. (I don't mean to imply the crew does nothing... on the contrary, they work continuously to keep the operation running smoothly. And they keep a watchful eye on our bubbles when we're in the water.)