Hi Kristen - Jane weaves a small square and then leaves an equally sized square empty. Weaving the scarf that ways creates a stable fabric. Larger sections without weft will have warp floating around which will be catching on things as it’s worn.
Jane demonstrates hemstitching around the 14 minute mark of the first video. If you want to avoid fringes, you’ll need to weave about 1 ½ inches of solid weft, starting with hemstitching to control the end of the scarf. You’ll need enough to be able to turn it in and sew a turned hem, repeating the same thing on the other end. Hope this helps.