I have never been concerned or intimidated wearing any watch from G-Shocks, to my Tag or Omega. I do cover my high end watches on my insurance policy which I am very happy I did. I had my Omega Seamaster Pro stolen from a locker at my gym which was replaced.
When walking through bad neighborhoods, I tend to dress down and wear my G-Shocks and am constantly aware of everything around me so I don't put myself in a position to raise potential funny business from happening.