Team Sage I may as well go ahead and do, since I thought this a little out as I picked the floor. Not to the point of doing the math I'm about to spout, that comes after!
First off, every team badly struggles to kill Rand.
Lemme repeat that since it's ridiculous. Badly. Struggles. Kill. Rand.
Milon's damage is special and he's slow. Baigan's damage is erratic, not good, and he's average speed. Cagnazzo's speed is above average and his damage at full HP isn't that great. So...they stagger throughout healing periods and none of them can actually kill Rand. Also Tsunami's not ITD, just magical.
Booster and Mack...well, if it weren't for Booster's limit Rand would easily live through this. The team's best off trying to get near the limit, letting Rand die, and blitzing past him. Mack's a trivial non-issue. Make sure to revive Rand before the next fight(So that he actually gets back up, since he doesn't in the same fight.), etc.
Scarmigli-Z curses the above average speed Princess, Rand gets healed, and it's...mostly over from there. Cursed Elegy slowing people that can be status healed wooooo. Arguably.
Full heal! Yay!
Kary and Kraken have an argument for not being able to kill Rand. Yeah. It depends on how much you value starting levels and where you see him coming in at-Rand would be showing up around this point and has a little period where he's underleveled. If you respected that he's got a little problem. Dunno why you would but there it is! Otherwise his durability, at comparable levels...is probably capable of taking this. His durability is mostly stats, he gets mostly worse as he levels, not better, and his endgame durabilities are about 1.5x average PC on both ends, so. Which is just around the range of this! (Booster does 1.5x PC HP with his choo choo. Little bastard. I suppose there's an argument for killing Mack first and him living through the train but meh. He doesn't have to.)
If not, and if you don't see healing getting between the turns(FF1 had fully random speeds, so Purim could slip in between them. Or not. Depends on interps a lot. I wouldn't rely on this.), then the team just kills one while they're working on him. They should be able to muster that much damage, Demi's either got Phonon now or a decent physical, Purim does...something, Brey has Snowstorm which works fully on Kraken, etc. It's probably the hardest fight for them on paper. Revive Rand at end, go to final fight, where Augus has to take two turns to kill Rand assuming it works, Augus and Nimufu's horribly gapped speed ensures I get the two turns, Nimufu takes hits like a little girl and can be statused...it's not a good fight.
Hell, I think you can probably status Augus, he's MS -1, means he doesn't get status'd a lot but can be. (Note that this does mean he probably shrugs off debilitating status; Bosses do in BoF1 regardless of how they take other status.)
Assorted possible things that you may/may not/probably will/probably won't allow:
-Rand Defending. I think this is iffy for a number of reasons, but while BoF2 has a lousy defend command(Reduces damage to 80%ish.), it's actually enough for most of this.
-Speedup. Brey gets it at L14. Your call if this is Floor 2. (Snowstorm really should be.) This trivializes any possible offense handling.
-If Princess has any more spells yet. Again, your call on how to handle that.
-If Purim gets Gnome on this floor/how much you respect Defender/if it works with Firefly/etc., this is a good question, but it's still useful without buff to Rand because it makes any question of Kary/Kraken being remotely scary fly away as they can't OHKO anyone but Brey. (I'm assuming Undine with this stuff, because I can't imagine not having it yet. Gnome's only like one dungeon later IIRC though. So whichever.)
-If Demi has Phonon yet. I think the assessment last time was mostly Floor 3 for that but I can't remember. Obviously one shot of well above average damage has it's obvious applications, especially since due to the heal it's two shots.
There's probably more stuff I'm not thinking of (Actually Rand gets Thunder at L9 and that's probably above average damage by then! And it's MT! See, more stuff.), but this is probably enough. >_>
Team Tai.
Kefka's easy, he smashes that. Okay he takes a lot of damage and I'd have to think about this without the full heal after but he definitely lives through it so yay not thinking!
Kyogre shrugs off non-Bhairava things for the second fight. This is good. I have a hard time assessing how well the rest of the team does against Heat's brutal tentacle rape, but there's multiple people who are above average speed with MDef boosters and IIRC Inferno's MDef based, not ITD. So that makes it simple enough to me. Hell, Dance of Protection MT is insane and Maya should be above average speed.
KAAAAAAAAAAAAAAAHN has SHOUT. It is manly and makes healing potentially a screwover! Except for status immunity. Damnit. Almost got to hype him. Oh well. The team's perfectly fine at taking care of this fight. Kyra's buffs are awesome, Maya's buffs are awesome, etc.
RHAPTHORNE AND DHOULMAGUS:
- Oh noes SLEEP.
Yeah. See Tai's comments about nulling sleep and the fact that the ones that can null sleep are the ones with the buffs that prevent the massive damage idea from working. Ooops. I don't even have to worry about if he can blitz them! Yay!
Xorn and Pals: The nastiest thing here. The team definitely wants to work the faces of the OTHERS, as with the buffs, they might actually contribute enough damage to kill, and IIRC Xorn's kinda limit-y for MT stuff? Xorn can kill some dudes first, but that's okay. He can repeatedly kills some dudes, in fact, which is irritating. But it's ultimately not really managable. I can't really see Tai not making it through this, although at least his resources are strained.
Team Tai makes it.
Team Monkey:
Well, you know, I was going to question this, and then I noticed the Firefly on Mew.
Team Monkey vs. Change Relic - My kneejerk here is oh god Mew on a team at a point where you've got nothing but unevolved starters and ComMons running about.
As such I basically second this. I've had a Manaphy early game, same stat totals. Things don't kill it, it could fucking kill things with Bubble as well as most things could with Tackle. I think Mew's L1 skill is Swift or something. Just a bit better. Mostly the durability is about 2-2.5x average for that point and feels like it, at least for a while. Certainly on Floor 1.
Even if I didn't count this in-which I most definitely do, Mew's a promotional and in-game in RBY the only way to legally obtain one can be done at like L10, using a bug, but assuming for the sake of argument that Mew's kinda statically weird...well, Rosa heals out of every major attempt to kill the team, the team has magical damage and the team in general...just looks like it can handle the floor. Balanced enough to do it. Mew's above average durability by any standards, so Firefly on it is just a pain in the ass to deal with, no matter what. Team Monkey passes.
Team Bardiche:
AHAHAHAHAHAHAAAAA FLOOR 1 AGAINST DEIS2. Team Bardiche passes.
....what, you want a more in-depth assessment? Screw that.
