Neither is a store or a website, which were the examples used. But we can translate the same example given to public spaces easily: you install a hidden camera in a grating in a public square and take upskirt shots of women walking over. That’s illegal at a federal level in the US so people absolutely have a legal right to control your ability to do that.
Wrong, a store is a public place, they have cameras, more to the point I can take a photo of you in a store and you can't stop me nor do you own it.
> take upskirt shots of women walking over. That’s illegal at a federal level in the US
Only since 2004, and that's a specific exception that was made and only applies when there is a clear expectation of privacy, i.e. wearing clothes to cover your privates is a clear indication you expect that to be private. That doesn't stop anyone from taking pictures of you you don't like though and it only makes the area under your clothes a private space, it doesn't make the public space your in a private place.