Brb p52: Determine Assault Results:
To decide who has won the combat, total up the number of unsaved Wounds inflicted by each side onto their opponents. This includes all Wounds caused during the Fight sub-phase, whether from normal Attacks, the Hammer of Wrath special rule, or other factors.
(emphasis mine)
So although "inflicted by each side" could well mean you don't count them (and indeed, does the Dread count as having caused the wounds, or the Champion? I'd say the Champion), I'd count them under "other factors".