@dana_w You can rotate the “Paint Curve” using “Trackball Rotation” (pressing “R” twice) but as soon as you confirm the rotation the curve is projected onto your “Viewing Plane”. I’ve found an overview of the “Paint Curve Operators” for Blender 2.92 here. I don’t know what the operators
bpy.ops.paintcurve.slide
bpy.ops.paintcurve.add_point_slide
bpy.ops.paintcurve.cursor
are for. Maybe they are only working in “Sculpt Mode” where this “Painting Method” also exists. Blender crashed several times during my tests of these operators 😉.