Can you support that claim? I couldn't find when CEO pay went public but it sounds very likely like one of those causes were correlation definitely doesn't imply causation.
It makes sense to me. Transparency benefits the party that is more free to go elsewhere. Lots of companies, fewer good ceos, means that the ceos can leverage this better than the company can.
To put another way - at work, if you knew how much every employee made at work, it would probably be helpful in salary negotiations. Dont see why it would be different for ceos