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The way AC works, it has to pump the refrigerant and do phase change and such. So initial turn on it has to work harder to cool, besides the extra heat load of the car being warmer as well. Kind of like cold starting an engine. Once it's ran for a while, it should take less for it to catch up. I didn't think the numbers would be so wildly different though. The variable speed pump isn't something I'm used to though, normally it's just cycle time of the pump. At first it's 100% duty cycle, then it will cycle on and off as needed (pressure and temp based).
I haven't done much AC tested with my car, but the little I've messed with it, it really hurt my mpg. But the hottest day I've seen so far was around 88F and windows cracked 3-4in was fine for me.
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