Yeah, you see, this is small government Lyndon. Because employers, not employees, set the terms of employment. I don't necessarily like this, but at the same time, if I had a company I should be able to retain the right to make sure the employees don't defame or damage the company.
You do realize that companies already have ways of doing that, such as making you sign a nondisclosure agreement or a code of conduct?
This is just an excuse for some fat old Arkansas businessman to make his 20 year old female secretary let him follow her on Instagram so he can creep on her spring break photos. Or perhaps for some sexually frustrated right-wing Republican state legislator to keep an eye on all those fresh-faced, strapping young college men who intern in his office.