[PL SPOILERS!] Question about "Firestarter" quest

[Goldoni]

In the cutscene where you had to betray Songbird or Reed i lost the context behind these choices. I remember the main objective is to save SB from Hansen but why it gives me that option to choose?

[Skeleton]

Seems like you forgot what happens after the party.

Songbird didn't need to be saved from Hansen. She was the one who caused SF1 to crash into Dogtown, because she wanted to reach Cynosure - an AI in a bunker below Dogtown that she believes can cure the side effects of her using the Blackwall. She made a deal with Hansen to help him access the AI, but always intended to steal it.

Reed wants to bring Songbird back to Langley, because she is too unstable to let wander free. In this path, the plan would be to sedate or stabilise her, and then she would continue working for the FIA.

Songbird wants to run away from the FIA, because they (really President Myers) would force her to continue working with the Blackwall, which is what is causing her to lose her memory.

[Amanoob105]

It all comes down to trust. Who's trying to help you in return for you helping them and who's just saying they are trying to help you while using you for their own ends.

Simply put, who's keeping their secrets close to their chest and is really lying to you?
Spoiler.
It's both of them . Just for different reasons.