What it infers is that God was the actual author of such as with Scripture, versus at most being protected from error as in (purportedly) infallible statements.
If that be the case, then Gregory the Great who was depicted as taking dictation, should be looked into more deeply than those apologist whom employ ellipses to get around Gregory writing of "the See of Peter being in three places", as is spoken of (when not simply ignored) in modern, Roman Catholic pattern & practice of "apologetic" dodginess, spoken of here, with that title "Universal" though used to some extent by his own predecessor Leo I, was urged upon himself also -- but which Gregory as bishop of Rome, rejected in no uncertain terms, writing in paragraph after paragraph just how wrong the very idea of that sort of one bishop over ALL others was (though various patriarchates in his day, had some history of "development" previous to his own time) as is discussed by Schaff here.