Okay, I'll admit, I know nothing about GR&R. I do uncertainty analysis, because that is what cal labs do. That said, there are many types of calibration in which variation due to operator is zero (such as a scale - level is level, center of pan is center of pan, etc.). The trick is that I still include the variation of zero in my uncertainty budgets, basically for standardization's sake. Therefore, I would surmise that the same would apply to a GR&R, do the calculation, and include the assessor variation of zero. It's still a G R&R, but that second R is really nice.
As for "backup", it seems to me that a single person operation's backup is called "subcontracting", which probably falls outside of the scope of a GR&R.
Ryan