Agreed to some extent.
If I understood my Aquinas properly, the existence of moral principles that are basic to human society, per se, can be demonstrated purely through the application of human reason.
The existence of such principles, in and of themselves, is not sufficient evidence to conclude there is (or isn't) a God.
WHY they exist in the first place, well, that's another matter.
So the criticism often heard from fundamentalists that atheists/agnostics can't have, or subscribe to, moral principles, really is not a fair argument.
The fact that "Do unto others" (the Golden Rule) has appeared in many human societies seems to be evidence for some universal moral principle that is discoverable by human reason. Universal in the sense of cross-cultural, at least. Universal in the sense of transcendent, well, that's another matter.
However, I don't think the moral relativist argument that not all societies have the Golden Rule , therefore it is not a universal principle, is a very strong argument.
This is like saying that Pythagoras discovered the mathematical theorem that bears his name, and we have evidence that Chinese and Persian mathematicians also discovered it independently, but not all societies discovered it, therefore is is not a valid mathematical theorem.
That conclusion just doesn't follow.