Can seborrheic dermatitis cause a mild telogen effluvium? (Photos)

I'm 24 years old and I had never noticed hairs on my pillow or while in the shower. I have Seborrheic Dermatitis since 6 months ago, and in the first months I stopped washing my hair regulary because I though it was some kind of dryness (Big mistake). After two months of not washing my hair reguraly one day I started finding from 6 to 8 hairs on my pillow and from 15 to 25 when showering all of them with a small white bulb. And, when I rub my fingers through my hair falls 1 to 2 hairs each time.