Since people have been reporting on their various runs of LoT, might as well share mine. I've been doing my own run with a fixed party, not a draft persay, but I tried to just pick a relatively balanced team without picking any of the truly overpowered nukers like Nitori, which led to a party of Iku, Yuyuko, Wriggle, Cirno, Alice, Suika, Rumia, Sanae, Komachi, Aya, Mystia, and Orin.
I made it to 18F last night, Yukari having been a rather tense battle wherein I realized my lack of defense buffs beyond what Sanae can do has been hurting me pretty bad this run, and while I've been making up for it by investing quite a few skill points into everyone's HP, DEF, and MND (something I've been doing all game as well, making sure everyone got a good balance of offensive and defensive library levels), it's still not been enough for Rinnosuke so far. I never really in the past underestimated the importance of defensive buffs in this game, but I think so far this run, where I've lacked major defensive buffs, has really sold how important they really are, and now I'm suffering for it by being forced to overlevel just so I don't get wiped by a stray Start of Heavenly Demise or Iai Slash right from the word go.