The PS5 does actually record video all the time in a ring buffer. That’s how when you press the share button, it includes a video of the recent past.

right that's the purpose though, they don't need to ship screenshots for monitoring

Is the PS5 not jailbroken?

I'm sure somebody's done it, but mine isn't. I do make sure to pull the microphones out of the controllers at least so while they can watch everything I'm doing on my screen they can't listen to the entire house.