Nah. It's mildly useful to me to have all that recorded and accessible. Plus I think there's like a 60% chance that turning it off only turns off it being displayed to me and it's all still being recorded and stored anyways. "Don't be evil" is long gone.
Sadly, I have the same distrust of the off switch as well. It seems like it would be much easier to implement the yes/no at the user's UI as opposed to the core back end needing to make yes/no decisions which also means they have less revenue generating data. Also, much easier to implement the yes/no decision at export data to show regulators it is gone.
