Not to nitpick, but it can't, the system can't be that sensitive, because even within the xW-20 grade, there is a considerable range. Factor in different engine states of wear, build variation and other influences and there's simply no way it can be. Some of the 5W-30/0W-30 oils are within spitting distance of the visc for some of the xW-20's. Any of the API ILSAC oils with the HTHS around 3-3.1cP aren't going to make enough of a difference in visc to throw the inferred "visc out of spec" flag.
I suspect the same would be the case for a 0W-16. Depending on where the oil falls on that range, would influence whether it sets the flag or not. Not that I'd ever run, or recommend somebody run 0W-16 in a HEMI.