I, too thought she meant bias when she used the term "cross grain". I re-read it and understand what she means.
I, too ignore the selvage, although I don't cut it off. If you'll watch some videos on straightening fabric, you may see what some are talking about. Few fabrics are straight with the selvage, especially these days.
This will help you understand the point of ignoring the selvage:
https://www.youtube.com/watch?v=CXBFfRjG8f0
https://www.youtube.com/watch?v=KF60qVY83j4
Once the fabric is straight, the V will disappear.
bkay