Well, I see that you are interested in scoring so you might have restarted the stage portion.
I certainly was restarting the stage portion because of score (my faith target at first was 600,000 by Suwako, then 610,000, 615,000, 618,000, and up to 622,000 by the time I succeeded in the run), but I also had more attempts fail on Suwako, which weren't due to score optimization, because I wouldn't restart after reaching Suwako unless I died or something.
(History for Party Start: 13/28 as of my first clear,
85/109 now)
Though I did spend a while going for a no-death run earlier back when I'd never captured several of her cards, and it took me quite a while to capture Suwa War for the first time, both of which contributed to my attempt count.
Anyway, I just randomly played Koishi, and on the first try, somehow managed to perfect her all the way up to 2/3 of the way through Genetics (including my first capture of Rorshach). I still need to learn how to handle Philosophy of a Hated Person though.