I could be mistaken, but those flappers were an EPA thing to prevent use of leaded fuel. Back in the day when both were still available, the unleaded fuel nozzles were a smaller diameter than the regular leaded fuel nozzles. Obviously, you wouldn't be able to get the leaded nozzle into the tank.
Since leaded fuel isn't readily available anymore, the flapper's only real purpose is to prevent splashing fuel and overfilling the tank. Removing it lets you get an extra 10 miles worth of fuel in the tank and see how much fuel is in there. I've removed it from all of my bikes.
On the plus side, it will prevent you from accidentally dropping your keys in the tank.