While I agree with the point that you're making around employing caution against iatrogenics (with colonoscopies being a very good case study that one should make sure to understand before forming an opinion here, as you referenced in another point), I think you're overconfident in your prediction that this hypothetical scenario would be bad.
I think your claim (based on sibling posts) is that in the current medical system, if we just added more screening, we'd not necessarily get net benefits. But I think that ignores the fact that, if we had cheap and high-resolution screening, we could fundamentally restructure many aspects of medical care. The BMJ article you linked in a sibling[1] notes that cancer screening may reduce cancer mortality but increase all-cause mortality. That's an unexpected and problematic result of getting referred to a cancer specialist that might not have (or be incentivized to care about) a wholistic picture of health when you screen positively for cancer. But if we had higher-resolution data, and conceptualized medicine as primarily preventive instead of curative, then it seems likely to me that overall mortality would be your target, we'd have richer data to be able to track that endpoint, and so we'd be more likely to catch the cases where an intervention caused unexpected harms (because we'd be tracking more indicators).
In other words, the problem you're observing is that adding a bit more data to the current system can produce negative outcomes. But that problem would be fixed by adding even more data. (With the remaining question being, how much data would we need to add to reach the "net positive" regime?)
I think you're arguing against a change that looks like a harm from the perspective of a local optimum that we're currently working towards, without considering the dramatic paradigm shift into another higher-utility region that would have been brought along by this sort of technology.
In summary, I am much more optimistic that if we had orders of magnitude more data, we'd make better decisions, not worse. But I agree with your caution that it's not as easy as it seems.
[1]: https://www.bmj.com/content/352/bmj.h6080