In order to affect a ground loop whatever is doing it has to change the potential of the ground. How does a power supply do that?
Through parasitic leakage through capacitors and through transformers.
FWIW: There are plenty of examples where XLR has its share of noise and hum problems (poor design choices) and Whitlock covers these issues as well. So RCA can be better than XLR and vice versa depending on the setup and specific equipment. It is only properly implemented XLR that should have an edge over RCA.
I don't care what the textbooks say. I don't care how it measures. All I care about is how it sounds. Unfortunately there is no way to make that comparison via the internet.
Ok. Then it will be impossible to convince you. Perhaps the links will be useful to the original poster.