If you apply this same sense of rigor then most of TOS also falls apart. The crew lands on planet of the week, gets a quick cliff's note sample of the dysfunctional culture, then tries to show them the way forward (prime directive be damned), usually with a hammy speech by Shatner. Lather, rinse, repeat. Simplistic? Sure. But it was more than enough for the show to be so well lauded and remembered a half-century later.
At some point you have to just accept this kind of stuff as Gulliver's Travels style pocket morality tales. Emphasis on "pocket". It's not necessary for the crew to analyze the situation to anal retentive levels of detail. I mean, come on, they used Rudolph footage as a character epiphany. You're setting the bar way too high.