Of course they do. What sort of person is going to tick the "I don't care about privacy" box? I guess the same kind of person that ticks the "I'm OK with mass extinction" box. Those opinions are not very relevant in the real world.
No, I see ticking a box marked "I don't care about privacy" as comparable to ticking a box marked "I'm OK with mass extinction". In the sense that in theory nobody's outward preference is for invasion of privacy or mass extinction, but in practice few people are prepared to make changes that prevent those things.