Someone experiencing parting off problems would do well to start by reading the relevant passage in George H Thomas's book. My own experience improved radically when I built his rear toolpost some years ago. More recently, I invested in a Greenwood KIT-Q-CUT and had very good results using it in a custom turret on the GHT toolpost on a Super Seven.
The Greenwood tool is based on a Sandvik p/o blade and insert and appears to be half a standard double-ended blade fastened by two countersunk screws to a rectangular block intended to be gripped in a clamp type toolpost. This design works but is not as robust as the standard Sandvik arrangement, the shear strength of the screws being the limiting factor. At some stage I added a third screw and later still three dowels. The beefed up tool also worked very well in the standard toolpost on my larger lathe until I had a major seizure and succeeded in breaking both tip and blade (I will aim to post a photo of the result).
This happened shortly after I had bought two replacement tips including one of the new ones with an angle to reduce the pip. When I learned that the standard, double-ended Sandvik blade, costs about £70, I decided to try the Front or Rear tool advertised on this site and find it excellent. If anyone wants to take the two Sandvik inserts off my hands at cost less 10% they are welcome to message me. There are cheaper versions eg the Glanze but this is not as effective as the Sandvik in my experience.
Happy parting!