I suggest revisiting the asthma diagnosis. Thick white mucus is a staple asthma symptom (even without cough) and though adult onset asthma often has a genetic component (like mine), that is not always the case. If your pulmonologist didn’t do a complete lung function test, I’d ask for it. Also, a CT scan of you chest may be in order, to rule out other issues. Lastly, it can take your lungs a LONG time to recover from a significant event … you may need to be more patient. It can also take longer than two weeks to realize the full benefit of an inhaled steroid.