It is hard to tell by the pictures.
Are these forms surface of revolution or do they require variable lead programming? i.e. are they turned with a constant feed following a cross section or with a
cam-like motion? If it is a
cam-like motion (feed is both advancing and retracting inside of a single rotation) the lathe would require a special function to operate at a very high RPM. If the lathe was equipped with a full C-Axis and milling capability it would be easier to produce both the part and program. I have experience with both.