Yes there is an advantage to using different BW conversion methods then desaturation. If you learn a bit about channels you notice that one will carry more of the contrast, the other detail, and some noise - if my memory serves me correct if you pitch the blue channel during conversion it gets id of alot of the grittiness. Anyways, desaturation neither takes away or adds contrast but it leaves you know control. i personally use the Lab conversion method with some tweeks.
I have no idea if that answers your question but...