We played it in the game store on the Renegades (a hack on Breathless) system with FitD-style flashbacks. I'm considering running it, probably on something similar or possibly on FTL Nomad
In our game, Hestia not so much as gave up but just was super unstable and tried to murder us before we managed to let her know that we came to save her (the GM mentioned that this twist was inspired by the "Lies of Locke Lamorra", but I don't know how). I probably like it more than the "your initial assumption was wrong and the fail was pre-determined" complications, but there's nothing wrong with these ideas, just personal preference