Gnoled,
I am a bit surprised that you call this incompetence.
First of all a CT scan is not all that good for soft tissue anyway. Second, did your Dr. (ENT?) really interpret the CT or was that read for him? In any case WHO cares what the CT/PET/MRI show what is important is what it is there tissue wise. It may just be the guy saved your life! A biopsy IS the way to go.
Also you have to wrap your mind around this: No MRI/PET/CT can tell you that you have no cancer, all you get it that there is not enough to be detected.... which may mean there is none and which is one reason why you get multiple scans. (And why you need to do biopsies... which they did in your case).
As far as PET/CT fusion scans are concerned, they are not as bad a charm makes them out to be. True they can be tricky and it is easy to create a false positive. They show metabolically active tissue, which may or may NOT be cancer. Also you need to have enough to generate a signal. If your cancer grows slowly and/or does not take up a lot of glucose you will not see it as abnormal tissue in the PET. This has little to do with the competence of the medical staff!

M