Honestly I think what the most HILARIOUS outcome is that she won't change at all. Like not even a little bit. Imagine JL decides spy on her waiting for crazy shit she might do. But she just doesn't. She act like a normal citizen. And JL trying to figure out what the hell is happening.
Plot twist: Jazz is just a liminal, so acid is nothing to her and she KNOWS what JL is doing that's why she's acting as normal as possible
What would happen if Jazz visits Gotham and ends up falling into a vault of acid?
How insane would she end up being?