If these people read a bad news story about google, they will not know how to stop using google for any and all web access. A discerning consumer often opts to alter their product use under similar circumstances. They are dependent on a middleman because their understanding of the boxes they type things into does not reflect reality. This is what it means for a mental model to be "wrong".
The realized model of having two separate boxes could only ever be "wrong" in a moral or aesthetic sense. This is not the case for mental models, which are incorrect when they do not correspond to reality.