Well, I took CATERHAM's advice. According to every pump manufacturer (and a few educational sites) that I can find that offers web-accessible info, as oil viscosity increases, slippage decreases, the pump efficiency increases and pump output increases (when on test rigs). In practice, when mounted, the pick-up screen and pick-up tube diameter can become limiting as viscosity increases and a vacuum is created. As a result, the vapor pressure of the oil and the differential in pressure between the pump and the sump determines if cavitation occurs. If cavitation begins to occur, pump output can decrease due to cavitation. So, in practice, output decreases as viscosity increases when the oil's vapor pressure allows cavitation.
Other sources of flow loss due to increased viscosity are mated surfaces on the pump. Since most pumps do not use gaskets and mounting surfaces aren't perfect, the pumps simply leak. As a result, as pressure builds, oil can leak from mated sufaces.
All pump literature that I could find attributed increases in oil temps with increase viscosity to be due to the increased energy that it takes to pump the fluid. Some also noted that when flow rate decreases, primarily due to high bearing velocity, the oil has higher resident time in bearings and can come closer to equilibrium with the metal surfaces. The oil exits the bearing hotter, but due to lower flow, actually removes less heat.
I need to apologize for stealing the thread. Thanks for tolerating the distraction. I learned something.