No society is egalitarian really. It's an ideal, not a reality.

Human beings are not wild for egalitarian behavior, and at best it would only really work in small populations of homogeneous people with strict social codes, like you see in Amish and other highly religious or aesthetic societies.

The problem with people is they tend to hate other people, especially people who are different than them, and having different amounts of wealth/income, makes people very different, and even when people are relatively equal financially, they start differentiating themselves based on the sources of their wealth and their consumptive habits. These societies rarely exceed triple digit populations.

A free, diverse, and open society can't be egalitarian and the irony I find is those who preach egalitarianism... don't want freedom or diversity. They want to pound everyone into conformity with themselves and their preferences and have illiberal attitudes towards self-expression, art, education, economic activity, etc.