I think the idea of acausal/logical control captures what causality was meant to capture in more detail, and is a proper generation of it. So I'd say that there are indeed "causal" arrows from morality to decisions of agents, to the extent the idea of "causal" dependence is used correctly and not restricted to the way we define physical laws on a certain level of detail.

Sure.

Why would I define it so? It's indeed what we are trying to refer to, but what it is exactly we cannot know.

Let me rephrase a bit.

"That thing, over there (which we're trying to refer to with some measure of accuracy), point point".

I'm defining it extensionally, except for the fact that it doesn't physically exist.

There has to be some kind of definition or else we wouldn't know what we were talking about, even if it's extensional and hard to put into words.

Lost me here. We know enough about morality to say that it's not the same thing as "red", yes.

"red" and "right" have different extensional definitions.