>>281760036 (OP)
You can make art that moves people without needing some inherent meaning or literally interpretation. People are moved to tears by music, that's purely emotional. So something like Angel's Egg has value because its visually stunning and the atmosphere is incredible. I love that film.
There's no reason why you can't apply that same logic to narratives though. Something can have a great amount of depth in terms of its themes, and the philosophical arguments it presents, without needing to resolve any extraneous bit of lore or tie all the loose ends together. You can be left dissatisfied by something like that, sure, but it depends one what matters to you specifically. Anno himself admitted a lot of the religious iconography in Evangelion was superficial, but that doesn't mean everything is - the core of Evangelion is Shinji, and by exploring his character, Anno works through a load of his own nihilistic thoughts in order to find a different, optimistic outlook by the end. The show still resonates with people because of that emotional core, all the other stuff is cool, but that's why the show has had the legacy that it has. That and waifu console war faggotry.
So yes, a show can not make logical sense in terms of narrative coherence, and still be deep thematically and emotionally, so long as there is actual substance there.
David Lynch is my favourite director, and I can't tell you what half of his films actually mean definitively, but they still mean a lot to me.