I dunno, depends on what you want to accomplish... Few years ago I thought I was staring downward too much while walking (Don’t drive, so I walk a lot), putting my head up more I was more aware of further surroundings and noticed more things, but found I didn't have as much time mental problem-solving while commuting as I had previously.
Maybe if I wasn’t so happy an introvert I'd do it more, but I prefer to be in my mind than noticing the mostly oblivious community.