I would do a ZC as well. From a compatability standpoint it is more widely accepted. I'm not familiar with that tsugami, but with a star or citizen back working station it works the best. Comps are easily done in just X(or whatever your main cross axis is). Don't have to worry about cutter comp and making sure that you have enough entry/exit to avoid crc alarms.
Also some machines don't have polar or helical. If it has a c axis sub that's all you need.
Some companies call this ID whirling and making sure that the tool is on center/thread is on center becomes a non issue.
You could easily write this as a macro.
Star SR20RII/Fanuc 18i, DMG CTX310V4/Fanuc 32i, DMG CTX310ECO/Siemens 8400, Mori NV5000/MAPS, Bridgeport 760/Fanuc 18i, Kiamaster 4NEII60/Fanuc 3t;Partmaker, Gibbscam