I don't think people outsource their thinking to machines.
I think the algorithms just work well at finding similar things to what people choose to consume or like. They aren't perfect, but there's this need to explain things by this great conspiracy of fake news and invisible influencers in a paranoid style.
I think this has gained traction due to a crisis of the knowledge class that happened due to the rise of populism via trump and brexit. They can't understand that those sentiments were chosen because people agreed with them; they had to have been influenced and their free will taken by "algorithms." This to me is like saying my free will is taken by the suggestions Amazon shows me on their site, or that my taste in movies is shaped by Netflix recommendations.
This gets annoying because it's so obviously a reaction in that particular style of contradicted elites. We see it in many forms, like the handwaving over internet comments and "civility." The knowledge elite hates to have its power or dominion challenged, and will try to explain the doing so via these systemic solutions.