It's also crazy how sympathetic the Sole Survivor can be to her. She's not a Synth, she murdered a child, and it's so easy to get her to join the Minutemen. The Commonwealth is not lacking in people, or even, dare I say it, women, so why is it more than just a side option to forgive her, as opposed to what seems to be the main path?
Her story would have been better if you walked in on her about to shoot herself, and then you could talk her down, and when you do, you convince her to go talk to someone to get help (mirroring the situation in Fallout New Vegas at that NCR base), except if you follow her, she heads south, into danger, and gets killed, either by the Super Mutants, or if she manages to make it past them, the radiation. With no way to save or redeem her. I mean yeah, it would be tragic, but Fallout kind of should be, at least at times.
There's a similar story in Interesting NPCs... you meet a young woman in Diamond City who just got an abortion (possible trigger warning), she's depressed about it, and while you can get her to talk, she ultimately just wanders out of town, and then north to a campsite southeast of Concord, where she remains for the rest of the game, assuming she survives the trip (she is neither essential nor protected). She also walks very slowly to get there, it will take you half an hour to an hour to escort her if you really want to keep her alive (I did this once, never again, next time I'll use the console to make her essential and call it a day). I really wished I could have made her a settler, especially as the mod was designed around adding settlers... but she's not meant to be one.