[meadsjn]

Gaige was shot in the arm that was holding the pistol, which fell to the ground and skidded across the pavement

The gun did not fall to the ground. His right arm nerves seized up. His "medics" had to pry the pistol out of his fingers. Other video shows this.

[House Atreides]

The gun did not fall to the ground. His right arm nerves seized up. His “medics” had to pry the pistol out of his fingers. Other video shows this.
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In the split seconds between the time he was feigning surrender and the time he was shot in the arm, he quickly aimed the gun at Kyle’s head when he thought Kyle couldn’t notice. But Kyle DID notice and in an incredibly quick reaction shot Pistolero’s In the arm. That quick reaction saved his life by a split second, IMHO, as the wound disrupted/removed Lefty’s ability to squeeze his trigger.