Just to wade in here. I have the S12S and it takes 2 turns of the crank to bring the system back up to full power - however I'm Ok with that as it ramps the power up gradually which should save wear on the motor.There's quite a few controllers like that. Every controller is different. Unfortunately they never give you that sort of information in the controller specification. I'm not using my big controllers at the moment, so I can't say what the delay is on a S12S, but I don't remember it being noticeable. Perhaps if someone has a S06S they could check it. The software for the S12S should be the same.
So it probably is the controller. Good luck with the discussions - it does sound like some margin has been added!