[Porsche-O-Phile]

Nope. Even a cold compressor will make the same temperature output air based on the amount of compression. The length of time that a particular slug of air is in contact with the compressor's piston (hot or cold) is negligible, as would be the effect of any thermal radiation as a result impacting the output air temp.

A cold turbocharger heats the air just as much as a hot one (to use another analogy). It doesn't matter.

If the Pats were smart (and I'm guessing they are), they used heated input air, that is then compressed (heating it more via the PV=nRT formula - ideal gas law) and the Colts' balls use regular room / ambient temperature air. This means the Pats' balls have a larger delta-T between the air temp inside the ball and ambient, which equates (again, via the ideal gas law) to a greater loss in pressure.

Within the rules. I see no issue with it if this is indeed what some staffer decided to do on his / her own.