I mean, this whole bruhaha was spearheaded by five (5!) people. Articles were presenting this as if it had been representative of a larger portion of the workforce there. I think companies are realizing "activist" workers are a disruption that suck productivity from a company and are taking steps to dial that down, including progressive stalwarts like Netflix.
Serious question, why wouldn't that include a CEO who is increasingly making public political commentary? I agree that activist workers are a problem for productivity, but the same could be said for activist CEOs.
It absolutely would, and the CEO is responsible to the board. In such a case the board of directors would be well within their rights to can the CEO.