The fact that doctors like your wife think that people who are concerned about their health and want more information is a problem tells me everything I need to know about your (and her) worldview. You've dressed it up as being pragmatic, but the reality is that you're arguing for censorship and against freedom of information.
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.
Instead of casting a net of unknown quality every month, comparing against a null dataset (there does not exist a large dataset of these scans with outcomes for given markers).
Why not advocate cheap, easy blood/urine tests with higher frequency? Those tests do have large reference datasets with outcomes. And they have prescriptive value: there is likely more benefit to catching hypertension or diabetes earlier in more people.
Personally, I think you've swallowed some kind of health insurance industry black pill, whether you know it or not.
I don't need to, I've lived in Japan and done the Ippan Kenshin which is the once a year health checkup. It consists of getting your weight, height blood pressure measured, an eye test, urine tests for diabetes and a blood test for cholesterol. That's very reasonable.
The one thing some doctors still tend to do is a chest-xray, which is not reasonable. They do it because tuberculosis was widespread in post-war Japan and they just kept doing it, but it has no positive impact on mortality rates.