Hermione saw the madness in Lily. We really shouldn't trust the author when he portrays her as rational. Project Athena seems to have destroyed her moral compass. She became a full-blown sociopath. And she is obsessed with Harry but not for the good reasons I fear.
Uh oh, this isn't looking good. cmon author can't you give Harry at least one person in a position of REAL power that has his back and doesn't want to use him? This is looking like a yadere lily but without any good intentions for Mc.