Do six cylinder cars cool your car better than four cylinder cars?

[Takket]

15. AC occures from a condenser/compressor cycle, just like your refrigerator or home AC unit

The compressor is the "power hog" of the cycle. It uses a lot of power to compress refrigerant as part of the cycle. That requires a certain amount of horsepower to accomplish, and the designers of your car have figured into their performance specs how much horsepower is required to give you the engine performance you need while the AC is also scavenging power away at the same time.

In short: No. if it takes 5 horsepower to run your compressor than it takes 5 horsepower regardless of how much power your engine is producing. The only thing you'll notice is you might have to press down a bit farther on gas to get the power you need when going up a hill if your AC is on full blast, but cooling performance wouldn't change.