Byakuren is the best buffer in the game. Even if she doesn't do anything else than buffing attack and matk, that in itself is enough to use her. Her damage output is kinda uninteresting, but she has dark and light elements, out of which, dark is rare, and light can help filling up the land for your light nukers (Reimu, Patchouli, etc). Her debuffs are pretty powerful, too, the few bosses vulnerable to these can be rendered harmless by casting a single power down or unquick.
"Condition statuses that would cancel each other out now get overwritten instead"
Means if you cast ATK up on a character that has ATK down on her, then you end up with a character that has ATK up instead of one that has nothing.
Alice, well, I only use her in 3 ways :
- In a column formation, Marionette Parrar with a good shield can boost your defense insanely (expect to see everyone take 0 damage from all attacks the shield works on, very often)
-London Dolls can cover a selected character so if you have a character that can't survive on her own, you can make sure she will, so you can focus entirely on offense for that char. This is especially useful on Patchouli or Marisa.
-Little Legion can cover the whole party for a turn, but has cooldown. Usually, Alice can survive taking damage instead of all 5 people, but in case of party wiping attacks, you can use also her as a sacrifice to eat the damage, then you only need to resurrect one character instead of many. However, there aren't much attacks in the game she can't reduce to 0 or minimal damage with a star resist in the proper element.
I didn't really use any of her remaining skills because skipping a turn on Marionette Parrar is suicide.