also, at the end of chapter 11, there is a cutscene after the bart fight where a new cieth stone appears with data on what happened during the war, stating that 'her providence' stopped ragnarok the first time out of pity for cocoon.
her providence is also referred to in the analects, and her name is Etro.
^ I'm not sure where I got this info from, but I recall that Lindzei actually left Cocoon long before the events of FF13. Perhaps she just told Barthandelus that the Maker "left", and over time his distortion of what was said lead to the misunderstanding of "abandonment"?
I don't see why lesser Fal'cie need to be given any specific details on the motives of Pulse/Lindzei. Fal'cie have little free will and only exist to carry specific tasks. For all we know, Lindzei probably told Bart that the Maker is a benevolent being that will fix all of the worlds problems and make everything happy. His focus is to simply bring about his summoning. End of.