It makes sense to me to use 2.19921875 as "standard gamma" in which case we already have it when using Adobe RGB, and we only need to undo it to move things through linear RGB.
In the case of sRGB, the toolchain remains as before, except for the value of gamma.
P.S. I really don't like the "linear segment" of sRGB: Fine for compressing, not fine for manipulating the image.