1.0 pieces seem to mostly be No Drop on FV.

1.5 pieces, if off a "regular" mob, have all been Droppable from what I've seen. Until this tradeskill incident the only No Drop pieces I've seen have been (a) drops off triggered mobs, (b) the result of a turn-in, and (c) ground spawns.

So, for example, for the Berserker quest once I get these items (all Droppable except the TS one) I give them to the guy that starts the quest. He hands me 4 axes. I don't know for sure, but I fully expect these to be No Drop because they're handed straight from the Quest NPC.