Solvency runs Group V > Group I > Group II/II+ > Group III > Group IV/PAO. The higher the solvency, the more choices of additives you can have. A pure PAO oil would perform poorly. The basestock would be great, giving great VI and oxidative resistance, but the additives would be inferior to a III, and thus you lose out on all the other aspects of oil (detergency, wear protection, emulsion retension, etc.)
Don't take my word for it, but I believe GC and Castrol Edge are III/IV/V blends, while Amsoil/RP is IV with just the tiniest bit of Group I or II. PP as everyone knows is a III.