Hello,
This is because the sphere have scale transformations applied. Before grouding the guides using GroundStrands you need to Freeze the transformation of the sphere. Also, if you want the guides and hair to look exactly as the curves make sure that the roots of the curves are touching the sphere. I fixed the first issue on your test scene and attaching it here. Give it a try.
Jeordanis Figuereo (Product Designer. EPHERE Inc.)