If you can walk down the street while counting in "3" in your head, are you not still walking down the street?
Doing that would drive me absolutely crazy!
I was once told at church that we'd be playing a "jazzy" song (uh oh). It was "Have Yourself a Merry Little Christmas", but it was in 6/8 because the WL seemed to be ignorant of swing eighths and he thought it sounded like 6/8 - it wasn't like he was some ancient guy, he was younger than me...but he used the term "jazzy", which tells you a lot.