Product that would be really useful here is a sit stand desk that you can schedule: there’s just no way I’m realistically gonna context switch every 20 and 10 minutes to adjust my desk height; if it just happened and I had to intervene to stop it, I’d probably let it happen
The last sit-stand desk I had at work used LIN to talk between the interface and the motor. We built a little injection board to program this in for us. If you don't mind hacking the interface, it would be easier to solder something directly onto the microswitches and control that from an Arduino or whatever.
Isn't the proposal not to move your desk but to just get up and walk around? They specifically say simply standing isn't sufficient and the ergonomics of the standing desk isn't good anyways.