I meant the authorities and those in power - and I would even argue that regular people might.

You see it mostly not in what they say they want, but in what they say they don't want. As people constantly cry out, wondering why the government didn't get access to [priviledged information] or why Apple didn't hand over the information for those terrorists, then the media and the populus will often ask why not and want laws changed so that they can.

Very few people are really willing to say "privacy is more important, and I will tolerate murderers and terrorists getting away with bad things because my rights are more important"