It's especially dubious in Facebook's case because Mark Zuckerberg controls the majority of voting shares. If he wanted to run the company straight into the ground I doubt anyone could stop him.
Mark Zuckerberg could not make his salary $800 billion, or donate the entire company to charity. That’s what that means, nothing about business decisions
Mark Zuckerberg couldn't donate Facebook the corporation to charity, but he absolutely could donate all of his personal Facebook shares to charity. If he did that then the charity would have a controlling stake.
I don't think you can sell shares to the public and then deliberately screw over your shareholders. If Zuckerberg acted terribly then he may be exposed to liability.
That's a question of malicious intent - if he intended to directly cause damage to specific shareholders than yea - they'd have a case. General idiocy isn't going to fall into that category though - shareholders all voluntarily bought their shares.