Welcome to the world of toolroom lathes. The machining centers have the cutters on the backside of the part. All the programming examples in the book are from that point of view.
The TL series also programs from that point of view, though it seems upside-down to us. Yeah, I know: confusing. But if the IPS screen or the VQC template built it, it's probably right. G02/G03 directions are from the POV of being on the back side of the part.