A 35% overdiagnosis rate means that for every 3 correct cancer diagnoses made, about one error occurs. That means if the diagnosis is cancer, about 75% of the time it actually is cancer. If the rate of false negatives is small enough, I think I would bet my life on that.
Edit: Sorry, I just noticed that what I wrote seems to imply I disagree with you when, in fact, I agree with you.
Edit: Sorry, I just noticed that what I wrote seems to imply I disagree with you when, in fact, I agree with you.