tikz-cd: label positioning on bent arrow

In the following diagram, I would like to get the label G^F on the dashed arrow to be centered:

However, modifying pos doesn't seem to work as there seems to be a "jump" between pos=0.41 and pos=0.42.

(pos=0.41) (pos=0.42)

Is there some way to make the label centered? (Actually, I am curious why it is not centered by default or with pos=0.5)

Below is a MWE.

\documentclass{article}\usepackage{tikz-cd}\begin{document}\begin{tikzcd}& A \\    C & \widehat{C}    \arrow["{F}", from=2-1, to=1-2]    \arrow["{Y}"', from=2-1, to=2-2]    \arrow["{N^F}"', "{\vdash}"{inner sep=.3ex}, from=1-2, to=2-2]    \arrow["{G^F}"'{pos=.41}, dashed, bend right, from=2-2, to=1-2]\end{tikzcd}\end{document}