Shouldn't both regulators should be checked and working at the beginning of the dive? If that's done properly, then the thought process that the OOG diver gets the donor primary because it works really, and the secondary might not doesn't really apply, as they both should be working. There may be other reasons to donate a primary (long hose allows distance flexibility after donation better than a short hose is one guess of mine). I'm assuming recreational single tank OW diving within NDL times.