Almost sounds like you are saying that compensation should be a confidential matter between employer and employee.
I do think compensation should be a matter between employer and employee. That said, if an employee or employer want to discuss it in public, that's their business. Whatever happens because of that public discussion is the issue, rather than the actual amount of a wage/salary, though.
In this particular case, the only thing that is newsworthy in an objective way is that income inequality has become a very political topic over the past few years.
Or, to put it another way, there are already businesses that operate with the CEO paying him/herself less than he/she has to, while paying employees very nice wages. These businesses exist and function just fine. The difference between those businesses and the one discussed in this thread is that those businesses aren't made into political statements with all of the resulting fallout from making a political statement.
Had this CEO enacted the same exact policies without informing employees and people who didn't need to know (everyone else on the planet), this business wouldn't have the problems it has now, nor would the CEO have the problems he has now.
In essence, the CEO screwed up his business by making it into a political statement. Which shouldn't be a surprise. This happens all the time.