Does seborrheic dermatitis cause hair shedding?

In My Opinion, any inflammation can increase hair loss. However, Seb Dermatitis should not lead to a Telogen Effluvium. You need to see a hair expert for evaluation.PRPHAIRMD.COM 

Yes, it can cause some degree of hair loss. I suggest seeing a hair loss expert now to evaluate and go over your condition and provide you information about your best treatment options. There are great non-invasive options like prp/progesterone and/or hair transplantation. See an expert. Best, Dr. Emer

It is a fact that seborrheic dermatitis can cause shedding (telogen effluvium). This has been shown time and time again in various studies. 
I will post a link (see below) to some of the most interesting research studies in this area. Dr Pierard- Franchimont has done very interesting research about 10 years ago showing that the more seborrheic dermaitits a person has, the more shedding (telogen effluvium) a person will experience. This is important information to know because it tells us that individuals with severe seborrheic dermatitis are likely to have a severe telogen effluvium. Dr Pierard Franchimont and others have also shown data that the inflammatory reaction can even accelerate male balding.
So there is no doubt about the relationship between seborrheic dermatitis and shedding. Companies that manufacture dandruff shampoos study shedding patterns to determine if their shampoo is working. 
Yes, seborrheic dermatitis can cause hair loss in the form of telogen effluvium.

I don't believe that seborrheic dermatitis causes hair loss directly, but if you scratch or pick out the flakes, you can produce hair loss