you are not wrong.
I'm going to be the devil's advocate here, though:
the point is, the anime can't go in depth like the game (how the fuck are they supposed to know the names? Igor tells them? we don't even see that guy more than once) and for the basic plot of the story, it's irrelevant, besides, from what I'm seeing, none of the personas are have any symbolism, so the names would have been shitty nonsense or idiotic names. The main attraction is its connection of the world when p3 occured. Like how the world went into chaos tens years ago, right when hero and the others fought nyx.