It didn't occur to him that the script might have something to do with that?
That gets interesting. Even the writers of most westerns seemed to intuit that those who drew first, lost. While of course characterization and plot have a lot to do with it,
Bohr probably noticed that this even seemed to apply to the actors. That is, whoever draws first *looks* to be noticeably slower. The eye can actually pick that up.
Ironically, as far as real western history goes, the bulk of the gunfights were usually some belligerent drunk standing in the street wanting to shoot someone, when the other party went up behind him and plugged him with a shotgun.
There was an interesting rule to mitigate the first draw disadvantage in a gunfight, however. “Get a shot off quick, first. You probably won’t hit them, but it will distract them enough to aim your second shot.”
This makes a lot of sense, since a distraction could restore your advantage, discombobulating your opponent long enough to get a distance shot on him.