You will want it to be on. That way, if the target is off center after a goto, the ASIAir will do a series of plate solves and automatically nudge the scope to get the object centered.
With the ASIAir, you shouldn't need to do a star alignment with your hand controller.
Hook up the ASIAir to your equipment and turn it on.
Set your scope to the home position. I.e. Pointing at Polaris
Turn it on.
Do your polar alignment. (I think it would be easiest to do this with the ASIAir, but that's me)
Pick a target in the ASIAir and hit goto.
The scope will slew to the target and the ASIAir will auto center.