Mental Floss says the original expression was “bare-faced,” that it morphed to “bald-faced,” and that “bold-faced” is also acceptable. Then it finishes with this gratuitous comment: “The easiest way out of this maze of idioms, obviously, is to simply tell the truth at all times.”
Their gratuitous comment is a bald-faced lie. Telling the truth is not always easy.
Like when a woman asks her man “Do these jeans make me look fat?”