I think that long term, preventative scans do make sense. With that preface, I don't think we should just argue there are no problems, and it's all easily solvable.
"Too many false positives leading to wasted time and costs? Raise the costs for the supplemental scans and improve detection precision and recall."
You can't improve precision/signal on an inherently weak and noisy signal. There are many things showing up on MRIs that currently require a biopsy. You need alternative DX routes to disambiguate, MRI alone can't do that. As for raising the costs - who pays? Medical costs are already completely bonkers.
"That’s a sign to improve medical research in that area. "
We know we need to improve search. We don't need to cause negative outcomes to reinforce that signal.
"Too much demand for MRI machines pulling away time from patients that need to use them? Build more MRI machines. "
Again, who pays?
"we should just plow ahead and address new problems as they arise."
There is the problem of opportunity cost. Is that the best possible way to spend sparse resources? The medical community currently mostly thinks that it isn't.
Targeting wealthy people first does solve the "who pays" problem. It might make the "too few researchers" issue worse. It will cause a lot of unnecessary biopsies (because often that's the only alternative dx route) - but you could certainly lean into informed consent there. You do run the risk of poisoning MRIs as a diagnostic tool, because media will report any inconvenience to sufficiently wealthy people as a major problem.
All of this might be solvable, but "let's just press ahead and see" is a very bad approach here.