To play the other side a little, it's interesting to mention that the relative uniformity of some moral statements across time and cultures has also been deploy

To play the other side a little, it's interesting to mention that the relative uniformity of some moral statements across time and cultures has also been deployed in support of moral anti-realist arguments, or at least evolutionary debunking arguments. I can't find the paper at the moment, but I don't think it's accurate to use the uniformity of some moral views as an argument against moral relativism, for the same reasons why you can't use the disparity of some moral views between cultures as an argument for moral relativism. The fact that some number of people agree on some ethical standards, even almost everyone, does not do any work to prove their accuracy outside human opinion and experience, much in the same way almost all societies except those who believed in the Abrahamic God found others who did not to be (repugnant/heathens/blasthemers/barbarians/baby killers).