What would be a better way to respond as a CEO? What would you have done?
Second they could have offered an increase in benefits like paternity leave to show they want to improve things.
He did neither of those
Stuff that's actually, you know, real.
Something "while I don't recognize this as a description of the company I have built, if it is even partly true it is horrifying and wrong. I have hired an independent firm to come in and blah blah...".
I think saying 'my door is open' is both nice and important, but it is a pretty limp response if that is the beginning and end of what you are doing. All you have to do is read Glassdoor, or talk to people, to know the reputation of Amazon.
Where I work I actually had reason to e-mail the CEO once ( it was for a C-level presentation ).
A few minutes later his PA rang me to ensure that I actually meant to e-mail him. I confirmed it and she sent the invitation on to his actual internal address.
I would assume that Amazon utilises a similar screening system.