Private social media accounts don’t have virality or reach.
I keep my own twitter and facebook private because I have no interest in accidentally igniting a feeding frenzy if I post something wrong on social media. But it’s equally true that if I wanted to make a fuss about something at my employer or elsewhere, my posts will go nowhere since only a small number of people can see or access them.
How do you figure that? I keep most of my social media stuff private but I would happily participate in, for instance, a unionization campaign and I will vocally support the sorts of folks that people like Damore seek to condemn.
I think there are plenty of people who might sign onto a union election or unionization at work who aren’t social media bomb throwers. I’d consider it myself if it came up and were convinced it would be good for me as an employee. I don’t think an employer looking through public social feeds would be very effective in screening that out, especially in technology where the majority of employees are openly liberal and Democrat in my experience.
There's no single social media administrative privilege across platforms that I'm aware of.