Am I correct in (roughly) summarizing your conclusion in the following quote?

Yes, there really is morality, and we can locate it in reality — either as a set of facts about the well-being of conscious creatures, or as a set of facts about what an ideally rational and perfectly informed agent would prefer, or as some other set of natural facts.

If so, what is the logical difference between your theory and moral relativism? What if a person's set of natural facts for morality is "those acts which the culture I was born into deem to be moral"?