Evangelion has always been focused in the psychology of the characters and/or the way they interact with each other in the scenarios these characters are put together.
Characters in Eva have issues of different natures, and that combined with whatever drama happens in the main narrative is there to give more weight to the overall story. Seriously, Eva can almost be whatever the fuck it wants while it preserve that human drama in the narrative.
Hell, the Rebuild films follow that example perfectly (so far anyway).
'people must die en masse to reduce the population for X reason' story.
I don't think FFVII nor X were ever about that...