There can be only "one truth", not "many truths".Perhaps you subscribe to the libertarian idea that each person creates his own truth . . . . If there is no one source for truth, then how do you know that the things you believe are valid - 'cause they work for you?
The statement, as qualified, certainly does not appear to be a recitation of the law of non-contradiction. And as you noted Warren_Piece, it is demonstrably false as written (and, I would venture to say, as qualified).
And in answer to the question you pose above, Psalm 73, I would say -- yes, validity is borne out by experience.
No matter how you construct a logic argument - the nature of reality can only be ONE WAY - you may believe different things about it, but there CANNOT be opposing foundations for the nature of reality.