Sounds like sebboreah dermatitis
Yes for some their hair can fall out.
I've just been diagnosed with this. Had it for about 3 yrs. finally started noticing oily flakes kind of. Sebum. Then it started on my eye brows v
Like so mSny things its related to poor immune system.
It's a fungus.
Sometimes my scalp tingles and can burn in some spots.
I allergic to EVERYTHING.
I have multiple chemical sensitivity, after getting stung 5 times a tow by a scorpion. Then my husband OD our house clothes bedding ( almost killed me. Really ) with pesticide.
Everysince then I've not been healthy.
I've read of several treatments from prednisone to using certain type of salt to rise ur scalp with.
But I've not done any of them. Yet.
Also a diet high in carbs and Sugar
seem to make worse.
That my 3 cents. Hope it helps.