I don't think that the handful of people who would take advantage of this would make any real substantial shift in society.
Seriously, how many women nationwide (not counting people who are nursing) are just counting the days down until they can walk around outside topless?
It strikes me as the sort of thing SCOTUS will give a thumbs up to and people will initially freak out and then people will notice that this basically almost never happens.
At worst it becomes like the old naked people clique from SF's Castro District and drives the government into banning everyone from being shirtless