I suppose it is heavily dependent on one's personality and what one has actually been caught on camera doing. But assuming your average sexytime pics, if some of me were made public, I'd care very little about it. If someone started looking at me funny over it, I'd laugh at them; if my boss or someone else with power were to be a prudish twit, changing jobs would be a hassle, but that's the worst I could imagine, and, eh, I'm lucky that doing so isn't as huge a deal as it is for some.
I do of course realize that things can be very different for people in different positions, and of course sextortion of minors is a very different thing. But for someone reasonably secure both financially and emotionally, who cares? Only the sort of people I don't willingly spend time around anyway.
I don't know Bezos, but he's certainly OK financially, and this reaction seems to demonstrate emotional competence, too.