the Owl the cult had watch me also observed the no-work Saturday, he wasn't Jewish tho. I knew him for over 20 years and whenever Saturday would roll around he would just watch TV and refuse to do anything else. It's a mystery to me still.
Perhaps this is a mechanism the cult uses to hone in on who "isn't one of them" they never directly communicate, instead they play charades. Thus something simple like "If you work on Saturday, you are an enemy" seems like something they would do to find targets quickly.