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There are many kinds of inequality; I'm assuming you mean social stratification into status groups (formal or informal hierarchy), rather than ability inequality or even strictly economic inequality.

At the core of it, I'd say no. Hierarchy arises out of an appetite for domination, that can exist as a terminal goal even among hypothetical perfectly rational beings. Whenever it works to do so, it can be justified through arguments that exploit flaws in human reasoning, but those are not a necessary condition.

By the way, this is going out on a limb, but the question can also be interpreted as whether a desire for egalitarianism, or the perception of inequality (and the need to combat it), is the product of cognitive biases.