Rotation profiles as a function of fractional radius. Note that the radius is shown on a logarithmic scale. We show the three synthetic profiles used in this work in red, blue and black. The profile of the rotating MESA model is shown in yellow. We use Ω_core/(2π) = 750 nHz and Ω_env/(2π) = 100 nHz as default values for the synthetic rotation profiles. The vertical dotted line indicates the location of the hydrogen burning shell. The cumulative core averaging kernel of the fiducial model is shown with the grey shaded area.