I think many folks draw an (implicit, often subconscious) distinction between invasions of privacy that they care about, vs those they don't, and the former ties closely to the presence of a human mind on the other end of the wire. For most people it seems, the whole concept is linked much more closely to the fear of shame (e.g., your slightly bizarre kink will be outed to friends or family who might look at you differently) than to the fear that the regime will find out you are a threat to it, and will come after you.
In other words: because the CIA's computers don't care if I am a furry and are never going to tell what they hear, I don't have to care that they're listening.
People (rightfully) dismiss as insane the notion that some weird dude is sitting in the basement of the NSA listening to the details of your life, in particular (the NSA's basement and budget are not big enough to house enough weird dudes to listen to make the chance of your life being monitored any more than vanishingly small). But it's been pretty common knowledge for a very long time that if Power really wants to know something (whether it's about you or anything else), it has a pretty good chance of learning it.