Shotgun vs. Pistol for home defense

Clint Smith of Thunder Ranch posted up a video comparing the overall length of a shouldered shotgun to a pistol held at arms length.

I like Clint Smith’s teachings and while this is a valid point, I still prefer the pistol. Why?
The pistol can be fired from compressed shooting positions, something not so much possible with a shotgun.
I can better employ a pistol one handed then I could a shotgun. Try calling the police while holding a shotgun, opening doors, or carrying an infant.

Longarms have many advantages over handguns but they have their own downsides. You really need to pick the one that best fit your needs.