This kind of acting/behavior isn't limited to "older" films. When I first read this question I immediately thought of Alonzo's death from Training Day.
Granted, the movie is from 2001, but still, it's more modern than not.
And the flailing about actually has a trope dedicated to it, called the Multiple Gunshot Death:
Most of what @BCdotWEB posted in their answer is correct, although I've never heart of the even frame rate requirement before.
16-18 fps was used a lot in the 1910s, but by the late 1920s, most cameramen were filming around 24 fps if not higher. Of course slower rates were always used for comic effect in chase scenes.
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