It's true. I've seen superhero movies, martial arts movies, and cartoons (including the dumdum bullets in Who Framed Roger Rabbit), so I know that handgun bullets are just too slow.
The notion of being able to doge “slow” bullets is so ludicrous, I’m going to give the “analyst” the benefit of the doubt, and assume he meant something else.
Handgun (slow) bullets have about 1/3 of the kinetic energy of “assault rifle” (fast) bullets. That, combined with far better aiming characteristics, gives rifles a great advantage — except in close-quarters encounters (such as a school classroom). If the “analyst” was referring to kinetic energy, and effective range — than his remarks weren’t totally insane. They were just garden-variety stupid and biased.
Then there are the movies where the bad guys with scoped rifles shoot many rounds at the hero only 50 yards away and keep missing, then the hero turns around and fires an offhand shot with his pistol and takes them out with one round.