At the recent Calumet Council trade-o-ree a collector showed me a fascinating piece from his collection - a rolled-edge version of the 307 Karankawa W1. He’s had the item in his collection for decades. It came from a collector out of west central Illinois in the late 1960s. What brought this to mind was his seeing on eBay recently a 300 Peta W1 also with a rolled edge.
Long-time Texas collector John Bibo was also at the TOR. We both concluded it is a real Apache-style border. Apache was the patch manufacturer. Most of their wovens came out in the 1959-1961 era. During that period Scouting was looking at ways to save money on patch costs and used them for a while. They made about 15 OA flaps or patches, about the same number of council patches, and many council activity and camp patches during this time. Very few though had rolled edges. The most noteworthy are what we call proto-types, most likely promotional samples, of the 1960 50th anniversary of the BSA patches for Camporee, Field Day, and Cub-o-ree.
Here’s the picture of the 307:

Some of Apache made lodge flaps had rolled edges but most did not. If anyone has more information, please post it.