That's not what I asked but lol I forgot that yes thank you
It is the answer to your question. Supply tokens come from the kill quest (PVP), Nation wars (PVP), GM events (mostly PVP though some exceptions), and BH. (PVE). You can also do the Goshiki chain I believe (one time only.) Not entirely sure about these but Winter Harbringer and the weekly morai quest might also give some.
I know how to get st... I'm asking can I kill a player without going white name say if go NS will kill count
Oh apologies, I misunderstood the original question then. No, Nightscream won't count, not sure why. You can get the kills in TW or NW as a blue name though. (I'm also not entirely sure about the arena, it might work.)
I spam dartle on demon spark, bitch please
If you mean still killing the classes you were supposed to "kill" w/o going white named, then that's just via a duel, and technically that's not what your quest is, assuming of course you're talking about the Goshiki chain quests