Hmm.. Yeah it's as I figured. Thanks for the replies. After rerolling a few times, I got an account with Amaterasu and Ares which are apparently nice (unless the guide I'm looking at is very outdated) so I might just take it. I'm already struggling to retain my motivation to reroll for the 100%/120% eidolon.
Edit: Btw, from what I've read the 100%/120% eidolons in this game are valued a lot. Does this game not have a magna equivalent or something?