Dueling Movies: The filmcriticosphere tried to force it into this with The Social Network, both big-hitting, big-budget biopics trying to nab Oscars and pretty much the only two contenders for Best Picture. This went right into the actual Oscars ceremony: Social Network's synth version of "Hall of the Mountain King" was the music for the opening montage while the title speech was the backdrop of the Best Picture montage.
Fake Brit: The Australian Guy Pearce as Edward VIII.
Although at the time, there was no separate Australian citizenship, Australia was merely a self governing part of the Empire.
Fake Australian: Jennifer Ehle was born in North Carolina. (Yes, this means that we have an American playing an Australian, an Australian playing a Brit, and a Brit playing an American. The mind boggles...)
Could be a form of Fridge Brilliance. Churchill was, especially because of his self-righteous defense of British imperialism in 1930s and other personal and political flaws, considered a repulsive villain by many of his contemporaries.
Reality Subtext: The film's writer was himself a stutterer, who took great inspiration from listening to King George's radio addresses, with his parents assuring him the King once stuttered worse than him.
Shout-Out - Just a bit of one, in John Boorman's Hope And Glory. The family is listening to George VI give a speech on the radio and the father says "He's sounding better, isn't he."