Why? Because people assume that it is highly unlikely that they will be the target of such a search, assume that a warrant would be needed, and in the bigger scheme of things, a backdoor is worth having in case someone who has committed a crime or is reasonably suspected of having committed a crime can be pursued.
So there's a principles / practicality tradeoff that I think people are making.
Further, telling people that the government might spy on you with the purpose of locking you up or fining you comes across as overly paranoid. Again, not saying this hasn't happened in the past or in other regimes, but this just isn't a sizable number of people's experience (in the US or Canada for example).
Rather than directly handing someone an unlocked phone, I like to think of it more like the residents of high-rise buildings who leave their curtains open no matter WHAT they're doing in the apartment. They figure the chances that someone is looking in THEIR window is miniscule even though the technology to do so is cheap and easy to obtain. The thing is, I bet a LOT of high rise residents, especially on higher floors, do leave curtains open all the time.
You see, every year there's one or two toddlers in her class that realize that either they can hit back, or take revenge by stealing those plastic cards in her purse she finds so important. And the other gets the idea they might get some support from their parents if they steal her emergency Jack Daniels bottle and take it to their parents.
With privacy HOW WILL THE POLICE FIND REASONS TO THROW THOSE CHILDREN INTO RE-EDUCATION CENTERS? Without constant surveillance of yet more aspects of those children's lives (OUTSIDE of school or anything perfect, I mean government related, of course). I mean unless every hairdresser tells Youth Services that these are bad parents.
With privacy how will youth services find reasons to throw children of parents who've committed heinous crimes into youth services? Heinous crimes such as abortions or same sex marriages or even ... gone to a protest for those unmentionable rights, or legalizing Satan-juice and Belzebub-smoke? Those parents could even be Jesus-killers, sorry, Jews is the PC term isn't it? Or terro...Muslims. We can't use that as a reason, but obviously children can't be trusted to those parents, so we'll trust them to youth services, you know, where half the girls grow up to be prostitutes, and most boys have more drugrunning arrests than points on their final exams. I mean the ones that actually do their final exams at all. Ahhhhh ... God bless good old American government style child upbringing!
Think of the children! Think of Gladys! Think of the heinous crimes some children might be confronted with! DO YOU WANT BABY JESUS TO DIE?
In other words privacy is bad if and only if the government is near-perfect. If the government is no better (and in fact significantly worse) than the society it serves ... then privacy protects you.
Meanwhile your nudes are getting stolen by cops.