I found a blog post that seemed to argue this very point here:
http://wrongeverytime.com/2014/02/10/once-more-with-fury-rebuilding-evangelion/
Here are some quotes that summarise what I'm getting at:
If Evangelion 2.22 is Eva yanking the “give the people what they want” lever up to 11, 3.33 is Eva straining that lever until it snaps, tumbles through the air, and falls back to earth somewhere behind the couch or something. You want Shinji to get in the fucking robot? Well, so does he, too bad doing that fucks everything up. Because it was never about him being a sissy you goddamn idiot, it was about his troubles not being ones that could be solved through an external source of pride like piloting the Eva Unit. You’re the ones who wanted the robot – you’re the ones seeking a fantasy where the weak boy can triumph, because you’re the ones grappling with the issues Shinji actually has difficulty overcoming.
In other words, the message is that it's wrong to even consider the idea of "fix fic", the notion that the characters could ever have overcome their problems or that even so much as a bittersweet ending was possible, never mind a happy one.
And so Evangelion 3.33 has earned itself some controversy. Which is almost certainly the point – Anno wouldn’t have baited the hook with 2.22 if he weren’t trying to tell people things they didn’t want to hear. But of course, in the context of the original, 3.33 is a clear progression – polished and sharpened, it’s Evangelion with the bones exposed, Evangelion with no room for misinterpretation. And personally, I think it’s fantastic – beautiful, focused, angry, and absurd, it’s one of the most passionate statements of purpose I’ve seen. It isn’t just a reflection of the original – it’s a reflection of the original as transmuted by the crucible of fan reaction, fan expectation, fan mythologizing. Given all the tools the original Evangelion provided, the fandom chose to stay in their sandbox, and Anno disapproves. “You’re not just an idiot,” Asuka spits at Shinji, realizing his failings go beyond just ignorance, “You’re a brat.” Anno has revised his estimation of the fandom, and this angry shaking of their shoulders is the result.
This really does feel right on the money for me. The third Rebuild film in particular just doesn't make sense for me unless I look at it in this light - that engaging with the narrative of Evangelion at all is wrong. We shouldn't try and imagine the themes and narrative of the series in any other way other than they way that they are presented to us.
Take this fanfiction set after the third Rebuild film, for example:
https://www.fanfiction.net/s/9382989/1/Reticence
Not to spoil the story or anything, but essentially it brings a happy ending to the Rebuild films and has the characters grow, develop and learn from their mistakes. And yet, this seems like the very reaction Rebuild was meant to condemn, this idea that there could be a happy ending, or that we should even look for one.
Indeed, taking the message of the series to heart would render the Evageeks wiki and forums completely pointless. That we analyze the show and its themes at all means the show has failed to achieve its goals, namely that we should not engage with fictional worlds and characters at all. Only the world of the here and now has any value.
Is there any worth in Eva's narrative and characters at all, or in our opinions and (re)interpretations of them? Why do we continue to imagine them and engage with them when it flies in the face of the message of these films - that it's wrong to want to have vicarious experiences through fiction?