Is there a way to draw or project a closed curve on a surface without it adding more points ?

Both "flow" (projection option) and "project" add more points to the curve.

I don't want to add more points as I am using the curve as a basis for lofting which works best if all curves have equal number of points.

I've also tried drawing a curve in the right ortho view on a curved surface with osnap "on surface" and that doesn't work, it just draws it on the xy axis


EDIT: just figured it out you have to draw you curves in perspective view with osnap "on surface". The osnap doesn't work in ortho views which is a pity because when your trying to draw stuff accurately you mostly working in the ortho view or cplane views.