Gamma does however have an effect on blurring. And I suspect that because of gamma correction, applying a blur filter to a premultiplied image is (very subtly) incorrect.
Applying a blur filter to a premultiplied image is (very subtly) _correct_, at least if the goal is to emulate what happens if you used a physical lens to blur the same image. Not only does postmultiplied alpha mess up the correct pixel values (as the original post shows), but even without alpha, you get a “halo” that is weird and unphysical.
"PS3 does sRGB conversion before alpha-blending, so the blending is done in gamma space, which is not quite right."
https://tomforsyth1000.github.io/blog.wiki.html