Hi Justin,
I'm not aware of such a mapping; it would be great to see one. It is almost certain that pvlib does not have all of the component models that PVsyst implements. Although we've done the best we can from PVsyst documentation, it may also be that the functions in pvlib with "_pvsyst" names aren't exactly the same as in their software.
The disparity in the results appears to come as much from the different modelers as from the different choices of model.
Cliff