Will it stop?... or will it just move to the open/close movement all over again?
I'm 99% sure it will stop.
From their website:
"Turning the ignition on or off as well as hitting any button on the remote at any time during remote operation immediately stops an ongoing top operation"
"To interrupt an ongoing operation: Tap the console switch in any direction at any time - even if the top was started by remote!"
It does look like a well designed and well thought through product.