Thanks for the clean retest.
You are correct, only if you have Hachiman Sune-Ate +1, or Usukane Sune-Ate, end build, that you do not need any Hachiman for WS.
"Therefore, hachiman body = crap, get a Hauby."
If you need accuracy boost for your WS, by all means, use a Hauby. Pre update I...