That's a short assumption to make. Chongy is right the lack of itching or the relieve of itching says nothing. You could apply one of the most potent glucocorticoids for instance bethamethasone and be totally or partially relieved of itching. Your scalp will feel great and awesome. Yet your hair on your scalp will say goodbye and you will continue to lose hair.
I understand why you'd say that but it really isn't a "short assumption" because it has scientific research has to back it up. I'm telling from experience that I had no itch/burn/sting etc.. Until I started losing my hair. I've also tried steroids etc.. But the problem isn't on the surface it is inside and steroids aren't the answer.