I find the Secretaries to be Lawful Neutral as they only follow orders, they don't seem to have a mind of their own, they were practically robots that just followed Arius loyally (though the smile of that one secretary makes me think they've been conditioned to enjoy serving him, or she enjoyed meeting, or perhaps messing with her sister) with Lucia's defect from what I've seen is a palette swap for her demon form and freewill existing.
I do believe she'd overcome it though as I believe Lucia's advantage is training from Matier (despite secretary and Lucia being I believe mechanically identical in the game) and heart to fight for something with.
I would have liked if they did something with the left over secretaries all hunting after Lucia. She fights them just as they are normally fought in campaign basically after all but one of them is left the souls of the fallen mannequins possess the final secretary remaining and then Lucia would have to fight it as a representation of what she could have been. If Lucia defeats it she could then get a devil arm out of it made out of all her "sisters". Could even have it try to corrupt her as she wields it or something.