As far as I know melanin granules do not significantly contribute to the mechanical properties of hair due to their location outside of the macrofibrils.
I agree that melanin by itself does not confer strength to the hair shaft.
However, note that the hair bulb is associated with surrounding melanocytes only during anagen when the hair bulb is at its deepest in the dermis, has more vascularization and is thought to be attached in a firmer way to the skin.
The Journal of Cosmetic Science may be a source of more information on the topic. Visit www.scconline.com to find a searchable archive. One article I found is attached.