If that was so people who were more religious would be more accepting of surveillance and I do not think that is the case.
God is also perfectly good, outside time, unlikely to question your actions, and completely forgiving. Rather different from being watched by human beings.
I do not think belief divine omniscience by itself had much impact on people's behaviour.
It's true that the idea of 'someone is watching you' is very old and a well-tested method of social control. The religious angle may be why so many people are receptive to mass surveillance today. But not everyone is religious, and those that are rarely live with a true, 24/7 feeling of dread and fear that someone is actually watching. The fear of consequences is very distant, and there is often forgiveness for small infractions. That fear becomes very different when you can put a face and a name to the people watching you, and you know they can affect your life in very real and immediate ways. This is the preconditioning that starts with childhood surveillance.
I've spoken to many of the deconverted who where genuinely afraid of committing real and mental sins as a direct condition of omniscience, omnipotence, and omnipresence. Have you not met someone like this?