I feel you are getting confused because you are trying to find similarity between the these different schools of Astrology, which does not exist. The regular astrology that we get to hear in North India is Prashiri astrology and is placed upon placement of planets. KP Astrology or KrishnaMurthi Paddhati is stellar based astrology and it is totally based upon Nakshatras. They follow different Ayanamsha. As in north India we follow ayanamsha by NC Lahiri, while KP Astrology has their own Ayanamsha. So in short you don’t mix Tea and Coffee as you will only get a weird taste in your mouth 🙂
Just stick to one and don’t get confused. Regarding the Chalit chart if your planets are in the cusp, then you may have a look at the Chalit chart to confirm its position.