If that were your assertion as a Roman Catholic it’d prove too much. Logically it would mean that your other authoritative source of revelation, Church tradition, is identically flawed.
This would leave you in the position of post modern followers of Schleiermacher who essentially gutted what we’d call historic Christianity (ie Christ’s power to save effectually) and left behind moralisms and worship with forms emptied of their substance. Ie the dead end of all relativistic roads, nihilism.
I was just musing on the logic of the proposition, a philosophical car crash. Like the paradox: I always lie. And that's the truth.