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Short answer is yes.
It’s like a separate proc though so it’s not additive in terms of lets say stacking %dmg for dots. Unaffected by direct SS mods or ndje % crit just the CDR of course
If it’s a separate proc, would it apply 40% of any flat DoT you have?
To mobs in it’s AoE yes, to main Target SS much higher %wp damage would take the lead and overwrite.
But Abb at 1 pt + skills would overwrite NB in AoE as well.