I have only done 2 such quilts and one TV show I watched the person said she pulled hard on the fabric to help remove the paper, and showed how she just did a quick pull and it tore right off. Yea, great it also made the fabric stretch out and I was trimming the heck out of those shapes. The idea worked - paper came off easily, those triangle shapes were off. Can't imagine trying to remove the papers if they were all sewn together.
When I did those 2 quilts I was not starching my fabric and now I am, so that should help.