I admit I haven't finished the game yet, but, while a large number of the datalogs are updated, I have not seen any which list incorrect information at all.
(SPOILER)Datalogs talking about Vanille, for example, before you learn that she remembered her past life as a l'Cie, only say that she "seemed" to have forgotten everything. They do this often. They say that something appears a certain way, never that it actually does. So when it is updated, the original information is still true.