Option 1 (Recommended): Abandon modifying the cone_turning cycle. Instead, use the fundamental G01 (linear interpolation) and G02 (circular interpolation) commands of the CNC system. Manually program multi-axis coordinated motion to approximate the elliptical cone contour with dense linear or circular segments.

Option 2: Contact Siemens' official Technical Architecture Department for paid custom development of a new machining cycle that supports elliptical sections.