The one time I was mugged,
I live in a big city, and I also travel to New York frequently, and no, that doesn't bother me a bit.
The one time I was mugged, the kids just grabbed my ZIPPED-TOP bag and ran anyway, lol.
Unfortunately pickpockets are a real threat in NY and Boston (I have also been pickpocketed in Boston -- I'm a crime magnet!!!). They do this because it often takes a few hours to realize your wallet is missing and by then they are long gone!!!