Gotham City Billionaires Club T-Shirt

Hey isn't Bruce Wayne head of the Gotham City Billionaires Club? It seems more than a little fishy that the symbol for them is a bat, quite similar to the one worn by Batman. What do you think the connection is there? This 100% cotton "Gotham City Billionaires Club" printed on the front. (Softness Rating = 7/10)