No.
I understand the LWF and know when double gamma has been applied. I'm sorry I used a small image as an example, but if you notice carefully...the gamma, or "brightness" is actually the same, the only thing that changes are the blueish pixels that have a higher intensity when the gamma is applied on the VFB (don't affect colors checked).
To summarize, the overall look of the rendered images is identical, except that stray pixels appear when "don't affect colors" is checked and gamma is applied in the VFB.