Sorry no it's not Universal. to be 'better' than others maybe yes. But 'fairness' is not
universal and 'equality' is definitely not universal.

Equality is your addition to the statement. I make no mention of it.

What culture, in its morality, does not 'ascribe' fairness to all people, to provide justice for all?

Chinese culture certainly does.

The actual behavior of individuals, even of an Emperor or President or army, do not taint or sway the moral basis of a culture. Indeed, morality would be unnecessary if everyone acted in accordance with it.

pDog's words do not prove that his culture has no moral stand on justice. They only indicate his failure to live according to them.