It's not only pics of people staring into a screen.
There was a case about 5-6 years ago when a guy recorded and streamed his secretly gay roomate having sex in the dorm. The gay roomate committed suicide later.
Work computers can be taken home or to business trips where things can happen in the hotel after the deal is struck.
I'm not naked when I'm using the computer. When I am naked my laptop is closed and most likely in my bag. I guess a lot of people keep their laptop open on their nightstand or something?
If society wasn't so prudish about naked bodies, it'd be less of a problem. It's one of those shoot the hostage situations. We could defuse a lot of our concerns if we'd relax our self imposed constraints and it would give us more time to worry about the things which matter more.
How can one blackmail a person with webcam pictures where the person just stares into a screen?
If you mean NSFW pics I don't think they're done with a computer's webcam cam. Nowadays, people use phones for that use case.