I don’t think you can take an ICC and plot a curve (or set of curves) from it, at least not without some special ICC analysis software that I don’t have. Maybe Walker can comment on that.
However, the curve screenshots above – both my last from Ps, and the previous that both of us posted from Curve Adjustment – show the effect that is being applied to either quad or icc. If you make a Ps curve using the same points, you are seeing the effect that the quad or icc will produce.
Alternatively, you could apply the curve to the image file and print with the linear quad to get the same (or nearly the same) result in a print. The purpose of modifying the quad or using an icc is to avoid having to do this. Whatever you way you choose, do not apply both simultaneously unless you want to multiply the effect!