I completely agree. When I got an EE degree, most of the content was about how electric fields work. It's not a simple concept. That video was reductive to the point that it made me angry. For all practical purposes, he is wrong, and he should admit that.
Not everyone has an EE degree.. As far as I can tell, the majority of the video seemed like a honest way of explaining the electric field / "flow of electricity" phenomenon to the layperson.