Wikipedia sucks, find a real source.
Theoretically the flaps would cause more drag in the long run and would only reduce range. If the 40 gallons is true you might be able to use them up with the flaps technique, but how much burn time is that anyway? What's the standard GPM on a B25? Probably wouldn't be worth a loss of airspeed unless you're really bone dry.
I'm sure if there was something like this involved in flying the B25, Doolittle and his men new about it. Affleck wouldn't even have been allowed on the Hornet. Its sad how Hollywood butchers history.