Just to mention my own view on the subject in a single line (though I ought really illustrate it with examples): I'm guessing that the moral algorithm in our brains is executing an unconscious estimation of our preferences while attempting a depersonalization of context.

As such a moral statement is on the one hand dependent on individual preferences (moral values) but on the other hand it can also be true/false on an objective level, as some parts of the above algorithm are objective and some are subjective.