Biopsies aren't cost- and risk-free, including from a patient health and mental health perspective. On top of that, the decision space isn't simply binary: there are multiple types of biopsy procedure, and understanding (even implicitly) the probabilities in play can guide those decisions.
The Cult of the Doctor never ceases to amaze (and frankly disgust) me. I think it's absolutely a noble profession, and that doctors are generally smart and conscientious. Even some of the classic complaints are understandable. Eg, my incredibly kind, humble, and open-minded brother-in-law occasionally betrays some extreme disdain for his patients, a common complaint about medical culture. I continue to be a little put off by it, but I understand that he has to deal with some incredibly stupid things from most patients, and it's easy to see how taxing maintaining the welfare/autonomy balance can be. I try to keep this in mind whenever a doctor has an initial defensive reaction to my attempts to be an engaged and informed patient.
But, the lengths to which people bend over backwards to make flimsy excuses (like your comment) for massive errors in reasoning is just astonishing. I can't think of a single other context in which people so desperately clutch their pearls at any suggestion that a professional culture or institution could be improved.
Doctors are people, and people have flaws. They go through a training and acculturation process, which may also have flaws. This shouldn't be controversial. The only reason I can think of is that patients are no better at dealing with uncertainty than doctors are; the idea that you're being treated by a deity levitating in absolute epistemic certainty is more comforting than the idea that you're dealing with a smart, conscientious, trained human that nonetheless has human limitations (and that the field of medicine itself has plenty of uncertainty).