Someone (might be me) is not understanding what is going on here and just what the problem appears to be.
The ambient temperature has nothing to do with the operation of the viscous clutch fan attached to the water pump.
The viscous fan clutch is always "engaged", because it is attached to the water pump which is driven by a belt driven by the engine's crankshaft. The speed of the fan varies with engine speed. As the engine spins faster, the liquid inside the clutch thins (reduces in viscosity), reducing the drag on the clutch, so the fan blades don't spin as fast (resistance of the blades through the air slows the blades). When the engine slows down, such as in stop-start traffic, the fluid thickens to cause the fan blades to spin at approximately the same speed as the engine and draw air through the radiator.
If the engine still operates within temperature parameters, what does it matter how, when, where, or why the fan "engages"?