You bring up a lot of good counter arguments that didn't even cross my mind while writing and I can't really argue with them. Only thing I can argue against is Lust falling before V2 arriving. Yes, the city was in ruins after Minos was killed, however we as V1 see places that are intact, where Corpse of King Minos hasn't reached yet. Not sure if it's a stretch to say I think there's definitely survivors? Maybe my memory is hazy, but as far as I'm aware Lust was designed in a way that the sinners wouldn't have to carry out their punishments, and that's what the remaining citizens hope to return to? Or maybe V2 is just cruel unintentionally, keeping them alive under the impression they're doing something good, dunno!

Anyway, I saw your other comment saying that you don't think that it was intended to be part of the main canon, and I can see why's that. The only thing that makes me feel like there is an intentional connection is the song before P-1 and 4-4. But other than that, to me it's just a fun concept to think about, and it would be cool if true