I think the subject does have some rights though. I'm not a fancy law talking guy, but I'm pretty sure you can sue someone for using your likeness without permission. But it's a bit dependent on the circumstances, a famous person can't sue a paparazzi for taking their photo in a public place, but I think they can when there's an expectation of privacy. You see people's face blurred on TV shows unless they sign a waiver. If been walking around where they're shooting a movie they put up signs letting you know that's happening and warning that you might potentially be in the background of a shot.

It's just there's more laws protecting the the people using the camera since big companies will use any loopholes to screw them out of money.

Though in this case I think the photographer is being an asshole. If Ozzy was using the photos for an album cover which he'd make a lot of money from, then the photographer deserves to get paid. But if he's just posting some old photos of himself with his friends, then the photographer needs to chill.