I ignore the .355/.356 thing, but in reverse order when buying Zeros, I buy the .356 and shoot it in both 9MM & .38 Super. That said, my .38 Super shoots .355 just fine as well.Ignore the .355 v .356 thing. Seriously. The 38 Super and 9mm have the same SAAMI 0.355 spec for barrel groove diameter. Actual barrel groove diameters in 9mm and 38 barrels run .355 to 0.357. Most 9mm are 0.356-0.357.
Most factory 38 Super ammo has 0.355 bullets.
Accuracy depends on the bullet and powder combination (see the article on 38 Super accuracy), specifically what your barrel likes. I've not seen it depend on diameter, and I've shot a few thousand rounds via a Ransom Rest. Diameter hasn't predicted anything I've seen so far.
So, in summary, ignore the .355 v .356 thing. Seriously.
But as @fxvr5 posted, a lot of 9MM/.38 Super barrels are over .355.