That's a huge commitment to cut rolls of paper. When I first saw this posted last decade, I was ready to shamelessly copy it, bu then I realized that if I did, my sander would crap out and I'd be left with 50 feet of idle jig-ness (story of my life).
Still, a big 👍 for your pluckiness in simplifying an ongoing chore. We both have discovered the need for the "keep the roll on the table top" jig 😀