Actually, yes.
Not in detail, but our first day at WDW, as we went to pay for parking at Animal Kingdom, we saw that the CM's nametag said they were from Chicago. My family is from one of the western suburbs, so we were excited to see someone from our neck of the woods. So we told him, and he directed us to one of the closest spots to the park entrance.
I also talked with the server I had at Tiffin's (AK again) when I noticed that her nametag said she was from Anaheim, CA. I said that it was ironic that she was at WDW when she's from a town with another park, so we talked about that for a bit.
Nothing earth shattering, but they were nice moments that wouldn't have happened without the hometowns being included on their badges.
As mentioned above, it's a lot more fun at WDW where you truly see people from all over the world working there. It can be a conversation starter.
Finally, totally subjective, but to me, hometowns feel personal. Favorite character feels like "which IP do you shill for most?"