What's more likely to draw attention to your firearm:
1- Subdued finish on a gun, in a nice dark holster, or
2- That same rig with a highly polished piece of metal clipped right next to it.
The answer seems obvious to me.
I will wear my badge on a neckchain if I'm processing a crime scene and my gun might be exposed, ie take my jacket off for the dirty work. Seems like a some cops love to have the badge on the belt, I'm not a big fan of it for the reason I mentioned.
So that's the practical reason for not having one of those badges. The other reason is you would look like a wanna be. Here's my theory on wanna bes, whether it's cop wanna bes or something else: do what it takes to actual become whatever it is you're imitating rather than living in a delusional fantasy world.
OK, I think I'm going to have some nachos now.