Medicine isn’t easy. My partner is an Advanced Nurse Practitioner (similar in skills and responsibility to a middle-grade doctor) and the approach to most presentations is this: common things are common.
See your doctor with a sore throat and fever and it could be a cold virus, HIV seroconversion or cancer. What do you think your GP/family doctor would say?
You’ve been very unlucky with having an extremely rare illness; doctors didn’t fail you, you just fell outside the scope of reasonable differential diagnosis.