This isn't really US versus UK, so much as Edgar Wright (and one Monty Python clip) versus everyone else. Which is fine, but let's be honest about it. I'm not sure I accept the video's thesis, that all mainstream comedies are totally failing at visual gags, but it's a good video.
The video puts forth that Wright's style is the best way to do some of the visual jokes...and while I am a HUGE fan of Edgar Wright, I think he's far from the only interesting approach to use. His limited sample size of films (mostly mainstream talkers from 2013 that WERE the results of improv, primarily from the greater 'Apatow' stable) weakens his argument. Films like Nebraska, Pitch Perfect, Silver Linings Playbook, Dark Shadows, Bridesmaids and Moonrise Kingdom all feature interesting visual storytelling and sight gags in the vein of what he's describing (or their own inventive styles). If overused, a lot of Edgar Wright's visual stylings would go from interesting to gimmickry, which would defeat the purpose, IMHO.