Evangelion is just a prequel to Nausicaa of the Valley of the Wind. You aren't meant to sympathize with any of the characters. It's more of a "the world ended/will end because people are like this, don't be like these people, they are beyond redemption".
Pomni's character development got completely abandoned for the sake of Jax forced drama. After that she only served to move the plot along to its rushed conclusion in the role of a concerned impersonal friend. I suppose that's the point the show was meant to make and I'm pretty sure it's frustrating on purpose, but regardless of that, the third act was rushed, and all the rest of the characters fell between the cracks. I enjoyed it regardless, but it's missing an episode or two. They probably had to wrap it up before the hype died down or something...