The L322 has a system that you can set using diagnostics to freeze or inhibit the system if you are going to jack the car up and let the wheels dangle....as the ECU will shut the system down if the articulation goes beyond 350mm and the system can't lower this value...the ECU thinks the car is being lifted and freezes.
Now, let us suppose the car is off road, and you park over a large rock, you then set the system to go down to access height, but the car grounds out on the rock, the system will detect that it hasn't yet reached access height but the height sensors are not feeding back that the vehicle is lowering anymore...the ECU thinks the car has grounded out on something and will attempt to raise the vehicle back up again to prevent damage.
It would be similar when you jack the car up - the ECU thinks the vehicle has gone into an attitude it doesn't expect and as such will freeze or disable the EAS system.
I am thinking the i930 report of carlift jack inhibit is just a setting you can change to freeze the system when you lift the car up to stop the ECU going nuts!
As for the height readings listed and if they are correct I don't know as I have little knowledge of the way the i930 reports vehicle height settings.
I'd suggest you get the tape measure out and physically measure the vehicle and see how it compares to these measurements:
As this is were the car should be sitting when it works correctly.
My thoughts initially are that your height sensors are not reporting the height correctly to the ECU when the vehicle is lowering so the ECU disables the system thinking it is grounded on something....either that or the valve block isn't opening the valves correctly preventing the car from lowering - which would seem strange in both cases as you say the car goes up alright.
The L322 did suffer from valve block exhaust blockages which could prevent the vehicle lowering correctly.....I think the exhaust is in the air compressor housing in the boot....take this off and have a look....do a google search for the fault as I think it was quite common.