I don't agree.
He's taking an ostensibly 'strong stand' - but he's also furthering the public furor.
Before he was a 'somewhat well known person' but now he's really, really going to be famous, and probably not for the right reasons. And by the way, most people probably don't know how he is yet. That's hard to grasp because we certainly do - but if you walk out your door right now, take a stroll and ask people if they know how 'Jeff Bezos' is, surprisingly fewer people will know who is is than you'd imagine.
You know Maroon 5? They were a 'famous' band with hit albums and singles. But since the lead singers role on 'the Voice' - their popularity has skyrocketed into mainstream. Listen to Zuck's sister Randy talk about the history of 'The Social Network' film - apparently the film caused a huge upsurge in FB accounts so it was a blessing. But who among us hadn't heard of Maroon 5 before 'The Voice'? Or Facebook before 'The Social Network'. 'We' are not normal folks. Normal folks have a variety of interests that may not include hearing about Maroon 5, or Facebook in it's early years, or Jeff Bezos.
Bezos is entering a new realm of pop culture, the news cycle in a very ugly landscape, and he's opening himself up for trouble.
'The truth' is the first thing lost in the fog of war, and certainly in pop culture war as well.
It might have been a better move to simply shut up about it, or at least be low key. Newsrooms work on the fuel of tidbits of facts, actions, and create narratives - without fuel, these issues just fade in the background because other , more clickworthy stuff is always happening.
Personally, I would have made a public statement through a rep. which possibly included the extortion notes, just for public record, but I wouldn't for a second make it personal or do things in my name, give interviews etc. etc..
Finally, and something that people have not denoted - but this 'scandal' has it's essence partly in sneaky photos - but mostly in the notion that 'Bezos, supposedly family man, was caught cheating on his wife'. I don't know the details of what happened, but this perception can actually be damaging. Even among those who are more liberal on such issues ... the idea of a rich billionaire guy, philandering around with some woman while his wife and kids are at home ... this is a bad image irrespective of what reality is.
The only winners in media storms are those for whom it's a way of life, i.e. 'their only value' - like newsrooms and media creations like Donald Trump.
I feel Bezos might be getting sucked into a storm he may not be able to get out of.
There are very few things that could risk his tenure as CEO of Amazon, but a wrong turn in the public eye is surprisingly easy, and it could cause trouble. People lose their CEO jobs often not because the board things some real wrongdoing has happened, but because public opinion is just up in a fuss about something.
Edit: If he is making ostensible claims that the US or Saudi's are actively spying on him, this could hurt him. True or not, it just sounds wildly conspicuous and conspiratorial, and it could easily turn into fodder for those who might not want to treat him well. It could also hurt his position among regular business people who might see it as a wild claim, irrespective of what the truth is.