The only way the outside temperature is involved is through the heating of the house.
The AC has to sink heat to the outside air. I see no reason why the outside air temperature wouldn't affect the amount of heat it was able to absorb.
That might be where the humidity plays a part. With low humidity you can definitely tell a temperature difference between shade and direct sunlight. With higher humidity the air gets 'thermo-saturated' and you can't tell a difference between the shade or not. My compressor and fan have no problem getting the cooler ambient air (even when it is 110F+) to dump the heat to.
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