Is it normal for the air suspension to make "self-adjustments" without selecting off-road or access height?

When I shut the vehicle off it seems to lower the back corner a little. Also, when the car is just idling, it will make little adjustments.

Is this normal?

 

Yup, that's all fine. As far as I know (someone correct me if I'm wrong) these adjustments are made as the weight of the vehicle changes. This keeps it at a constant per-set height no matter how many people/cargo/fuel is being carried. When you shut it off and get out, it senses it's a little lighter and so it brings the ride height down a tiny bit. Same when the vehicle is at idle or even in motion, it tracks the slight movements and weight changes and adjusts accordingly.

 

ditto^^