>that people who are concerned about their health and want more information is a problem
It is a problem because there's evidence based standards for when examinations are indicated and prolong or improve a person's life. You being extremely concerned doesn't move that needle and subjecting you to tests simply because you're anxious is blatantly unethical and harmful to your psychological wellbeing.
And nope this isn't censorship, it's being mathematically literate and understanding how data production works. Here's an actual real world example. There are aids tests that are 99% accurate. About 30 in 1000 people in the US have AIDS. 99/1 is great odds, let's test everyone, data doesn't hurt right? Except as it turns out if you test a thousand people randomly you'll have 10 false positives and 3 people with AIDS, Bayes in action.
So if you sent every American through body scanners, which are less reliable than that test btw, you'd have quite literally millions of people in follow up procedures for diseases they do not have with their mental health ruined and the system ground to a halt, because producing information is not always the right thing to do.