The gas is also a lubricant, maintains seals etc. - mine is constantly on. If you flick through the Car menu you can see how much fuel is being used by convenience consumers - it’s 3/5ths of FA for the climate control.
Yes I understand the pump is variable compression. During the 40 deg C days, the consumer menu showed a/c was heavy on power, unsurprisingly. But now it is cooler, it uses virtually nothing.