Pizza guy,
I used the "Smart Air" controller for my truck and even though I have the air compressor hooked up directly to the battery (fused of course), there is no way the compressor will turn on unless my key is on. The "Smart Air" controller is essentially the relay and brains that tell the comperssor to turn on. If the key is not on then the controller has no power and the compressor will not come on. So, depending on the controller you are using, if you connect the compressor to the battery and then power the controller from the ignition on wire you should be fine. I'm not sure how the controller would power on the compressor if the controller had no power even if the air system had a leak and fell to less than 5 psi.
Hope that helps,
Robert