Yeah and the similarly "off roady" (to use @Calvin2518 's phrase) Defender 110 and Rivian, for example, similarly don't use the air suspension compressor for their built in compressors, instead having a standalone pump in the cargo bay so far as I know. They're not intended for the duty cycle of filling 35" tires from 15-40 PSI (even the smaller aftermarket compressors would need a break to fill a couple tires since they have ~15 minute duty cycles).I don't think it is a high enough capacity to really use it for anything. You probably risk burning it up. It's definitely there and you can hear it running if you change suspension levels a lot.
I am curious how long extract mode will take to enter, there's a lot of air volume that needs to be made up.