I just finished a Judy Niemeyer workshop. Sounds like your pattern is a lot like her method. I did it the way the instructor wanted us to in the workshop but once home I did it the regular paper piecing way (Carol Doak) and didn't cut the pieces using the pattern papers. I even tried the strip paper piecing way by Peggy Martin and that worked too. The end result is the same so use the pp method that is easier for you.