Structurally, Voyager was The Odyssey. The books of the Odyssey are not the serial story of the crew. There isn't even any seriality to Odysseus' adventures. You could rearrange their order or omit one or more as you wish.
No, there is no inherent storyline in the premise that Voyager betrayed. I know this may sound shockingly categorical, but it is simply an error to think so.
is right. The only way that the premise would have demanded serialization of the crew conflicts is if they were profoundly inimical to each other, such as Cardassians or Rommulans. And given the tech shown previously, a survivalist epic was a self-contradicting premise.