I'd be surprised. Linux is great, but it's not the best choice for something like the control system for a self-adjusting automobile suspension. Much more likely they're using VXWorks or some other embedded RTOS.
From what I can tell it's active only in that it changes ride height, not actually adjusting the suspension through a corner so the timing is not critical at all.
You don't need anything approaching realtime for controlling an air-based suspension. If we were talking about the magneto-hydraulic suspensions that adjust constantly to road conditions like potholes and corners, then I would agree 100%. But the response rate of the pneumatic system will be far slower than the computer.