That's an example of a false choice. It's not a choice between corporate ownership of our information on one hand, and a failed governmental system on the other (which Communism certainly is). People being in control over their information isn't the same as eliminating capitalism. Those issues are orthogonal -- one can have freedom of opportunity alongside respect for personal privacy.
As an example, consider medical information and the rules for its dissemination. No imaginable corporate entity is so potentially rapacious as a hospital, yet the rules for dissemination of medical information are very strict, such that to reveal patient information to a third party without the patient's consent is grounds for immediate dismissal.
Oh really? And who would build that "benevolent" AI? A lot of things that may be benevolent for you may not be so benevolent for others.
I think the answer's obvious -- replace Facebook with an entity, hypothetical at present, that's controlled by its users, not a corporate board of directors whose loyalty is to themselves and to stockholders, people for whom subscribers are a product being offered up for sale.
I'm obviously speaking hypothetically -- there's essentially zero chance for such a thing, given the modern Internet and the current political environment.
> If I can legally take a photo, should I not have the right to have a company analyze that photo on my behalf?
The unasked question is whether the analysis is carried out on your behalf.