One Christie Aschwander, whoever she may be, says she doesn't want a mammogram even though her doctor recommended it as "routine." She's researched the matter, the different types of breast cancer, the odds, and so forth, and made an intelligent decision to bypass a procedure that she calculates could do as much (or more) harm as good.
Good. You may question her decision, you may not agree, you may choose to go the other way. But at least she's thought about it and involved herself in the decision-making process.
Doctors aren't gods - demigods at best. It's only natural that they will recommend the safe alternative, the extra test, the diagnostic procedure that eliminates even the most remote possibilities. That's because of the lawyers, who if the least little thing goes wrong (or even if it doesn't) may instigate lawsuits charging negligence and malpractice. Insurance companies will pay for duplicative or unneeded tests and diagnostics for the same reason. In this environment, many doctors are discouraged from the true practice of medicine.
The intelligent future of medicine is to get involved and make your own health care decisions. Turning down Tests and Treatments (TTT) may be the smart thing to do.