OK. I see your other comment. I think I was mainly responding to this:

However, if one is to ask a moral question without including a specific group-referent (though usually, "all humans" or "most humans" is implicit) from which one can extract that objective algorithm that makes things moral or not

You can't extract "an" objective algorithm even if you do specify a group of people, unless your algorithm returns the population distribution of their moral evaluations, and not a singular moral evaluation. Any singular statistic would be one of an infinite set of statistics on that distribution.