You do have all the doors, including the rear hatch and hood closed. Right? Any of these open will mess with the air suspension self leveling.
This just popped back into my head. I hope that your solution turns out this easy.
I ran into a funny "no fill" the air tank situation this year.
The vehicle had been off for over a day when I hooked up the battery charger and was running VCDS scans for other problems. I had parked with regular level, and at some point during the scans dropped to the loading level. At the end of the work, with a full battery, I decided to turn the switch to put the Touareg back in normal height.
The vehicle refused to lift and the compressor did not start. I scanned with VCDS (still connected) and did not find any new faults. Tired, I eventually decided to just move and park the vehicle. The heck with this new problem until tomorrow.
Saying unkind things about everything German, I turned the key, the engine started, then the air compressor started, my jaw dropped, and that is how I learned that...
The compressor controller does weird things. Sometimes it will not power up the compressor if some "software" timer has timed out. The reset / solution was to start the engine.