I'm not aware of any influence those skill points you're asking about have on writ rewards' quality, but that is an interesting question.

I'm inclined to say they should have no bearing on it, but I can't say for sure; I've always been under the impression that rewards were based 50/50 on your character's level & the X/10 craft skill level. It works that way for harvesting nodes. If you're CP160+, but you're only 1/10 on your crafting skill for, say, clothing, then you're going to see Jute half the time and Ancestor Silk the other half. I assume that the writ rewards work the same.

I feel like I get the same quality & quantity of rewards on my characters that know no traits as the ones who know all (except Master Writs, of course). But feelings aren't numbers. They're all level 50 & 10/10 on craft level; even the ones whose character level isn't up to 50/CPlevel yet. I intentionally do this to maximize writ rewards' quality; I hope I'm not doing it for nothing, haha.

Personally I've always refunded those research-related skill points back after my crafters completed all researches, and I'm still raking in Chromium Grains and Rubidite-level rewards on the daily on them, so... take that for whatever it's worth, I guess? :P


Hopefully someone with a more definitive answer can chime in! lol