one thing worth mentioning, because i've removed the shoes on my Sturmey Archer coaster brake hub a few times and ridden it that way as an experiment, is that i don't think backpedaling will be as free as it is on a freehub, possibly avoided altogether. and the washers are, as mentioned in the video, necessary to prevent excessive windup when transitioning from coasting to pedaling.
it's also an option to remove, or do a little cosmetic surgery on

, the brake arm and replace it with a suitable washer, if aesthetics and/or weight are of concern.