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“Their data” does not imply copyright or ownership. But it is data that is stored with them or at least available through them, and in that sense, it is certainly their data. Their friends, their nationality, their back pain, their favorite food: where does copyright or ownership come into play here? I understand that you need a hook for your intended message, but this one isn't really suitable.

And to add my own message: first, it’s no one’s individual duty to worry about other people’s earned income. Second: the money paid for works often doesn’t go to the authors to any significant extent, but rather to some rights holders or middlemen. So this is just a smokescreen. The production of knowledge and art will not suffer because we download works from Anna’s Archive. If anything, it suffers because access to information is unnecessarily hindered. Third: ownership should be strictly limited to physical goods (if at all). Your article, book, or audio recording doesn’t disappear just because I’ve downloaded a copy of it. This is a deep-seated intuition that should be taken as an axiom rather than being questioned simply because people claim the right to profit from information asymmetry.