You are not naive or mistaken. A needle biopsy is like shooting darts at a target. If you throw 10 darts you may never hit a bullseye, or you can hit it with one.
I was diagnosed with minimal cancer via the biopsy. I chose the surgery whereas others may have done something much less invasive. When I got my post surgical pathology report back, both my surgeon and I were surprised what was found. Fortunately, we then knew the actual extent, and my prostate was where it belonged, in some jar of formaldihide somewhere. I was in the position to get the additional radiation therapy to mop up any of those pesky cancer cells that were still hanging around. Fortunately, six years after my initial diagnosis and surgery, I am still pushing those zeros!
Will I be able to continue "cancer free" forever? Who knows. At least I gave it my best fight then, had the fallback option available, and with God's will and good doctors will live a long life and not die of this particular maliday.
Good luck with your fight!