Once any air bag is up to pressure, the leveling valve will isolate it from the rest of the air system. Assuming no leaks in the valve, or the bags, or the connections between, then the bags will stay up. If the system leaks down, and the valve passes, the bags will flatten. If the system maintains pressure, but the bags or their lines pass, the system will flatten, then the bags will follow.
In your case, the suspension system would appear to be leak free, while the cab system is suspect.