Rarely do I shoot things at "normal" frame rates. I find things much more interesting at different frame rates. Shooting 60fps for 24fps playback is just slow enough to give it the look discussed without going extreme high frame rates. I don't have anything that shoots higher than 120fps, but going into those extremely high rates is just surreal.
Going the opposite direction, I love time lapse as well. Seeing things that seem perceptually static move in playback can reveal a lot of interesting things that happen at rates too slow for our hectic hustle and bustle life styles to appreciate.