I have an examples where 'intersectPoints' unaccountably fails to find an intersection point that must exist by the Jordan Curve Theorem. I've attached an example with two explicit paths.
bug.zip
Geometrically, this is a circle around a certain point and a horizontal path leading from the center to a point outside the circle. Apologies for the explicit coordinates, this is extracted from a hyperbolic geometry drawing. The issue seems to be sensitive to the size of the circle.