I've toyed with the idea of getting a paddock coat for a while. I probably won't because I don't have the kind of money to "toy" with my clothes, but it's certainly crossed my mind given my preference for buttoning points.
JFK didn't generally wear paddock--he just buttoned the bottom button of regular two button jackets. I can't tell if the picture above is a regular two button or not though, but I imagine that if it is, that's why his gut is accentuated so much. I think a proper paddock cut wouldn't have that same effect. Plus we all know that RDiaz has a six pack cut from granite.