No, if not both religions, then in one of them its definitely used both right facing and left facing.
when the flags designer, Wiliiam T Thompson suggested the design to be used he wrote this about the flag in the newspaper in which he was a co-founder and a writer of.
"As a people, we are fighting to maintain the Heaven-ordained supremacy of the white man over the inferior or colored race; a white flag would thus be emblematical of our cause… Such a flag…would soon take rank among the proudest ensigns of the nations, and be hailed by the civilized world as THE WHITE MAN'S FLAG.… As a national emblem, it is significant of our higher cause, the cause of a superior race, and a higher civilization contending against ignorance, infidelity, and barbarism."