The general population isn't going to care about "privacy" in the abstract, that kind of thinking reserved for an activist fringe. IMHO, the only way any progress will every be made on such abstract things is activists influencing government to force the changes.
The general population will respond to realistic fear and danger, though (e.g. witness all the rituals people do to avoid identity theft). Maybe the best way forward is to cultivate fear in people of losing their livelihood to AI, and present these privacy invasions as an attack on that front.