Personal disclosure: I’ve used a safety razor, the mug, the brush, etc.,.. and honestly, I’m just too lazy to go through that every day. Give me two minutes and my trusty Philips Norelco Cool Skin razor, any day.
BUT, I will readily admit: (A) this method does, indeed, provide a wonderfully close shave, and (B) that there is a certain aesthetic satisfaction that comes with doing it this way.