At the beginning of the video it seemed like she was knitting through the back loop but around the 1:40 mark when the instruction "knit 7" is on the screen it looks like she's just pulling the yarn in a funny and stretching the front leg of the stitch back but she is knitting through the front. I could really see this at about 1:48 just before she works a dropped stitch from a lower row. She just has an extra twist or something when she pulls the yarn through. Maybe it's something she developed as she worked on her tension when first learning.
Whatever it is, it's working for her - I love that scarf pattern!
I think I'm going to put this on my list of future projects. Thanks for a great find!