Couldn't find anything about this in a quick search, do Warlocks (specifically destro atm) refresh dots when 4pc procs. On my hunter as MM you refresh SrS when it procs so I figured it would be kind of the same. At least maybe for Bane of Doom.
Armory 7/7M 6/10M
No.
No. Plus I am 62.9% sure that this is no longer true for hunters either.