I think if you look at the choice model, yes, you can choose certain things, and that should allow you to “opt out” of having information processed in a certain way or kept on your behalf. I think that's a relatively good model, but it doesn't work in all cases.
Another example, just to go back a bit, is the fact that if you want to be forgotten, you can't on the Internet. I use Facebook very minimally. I don't put any pictures on Facebook. However, my picture is up there and it's tagged, because someone else put it up there and tagged it. It's so omnipresent now. You can take certain items off there, but no matter what you select as your choice, it's out there.