In Brave New World, a social experiment was described, where an island was populated only with highly intelligent people. Within a short time, they all started bashing each others' brains in because everyone wanted to be the intellectual on the throne, i.e. no one wanted to do the dirty work, but make the others do it.
So: doing your own chores is important in two ways: it diffuses some domination urges through discipline, and it keeps one closer to reality through physical contact. Doing manual labor is also a way to balance the mind and body, so that we do not unbalance in a dangerous way, and to SERVE OTHER people, so that we can all SERVE EACH OTHER.
It isn't coincidence that those who do not do their own dirty work correlate with the stratum of a society that makes real lives of others miserable by "producing" Ideals from ivory towers, all the while making sure they never face the real consequences of their abstract non-existent Ideals.
To not do one's own chores = to have no discipline of staying close to reality = to lose one's bearings and become lost in a sea of Ideas, not being able to see what is constructive and what destructive, that is, what is good and what evil.
By doing our own dirty work, we take burdens onto ourselves, and do not put burdens onto others. This works in synergy with the ultimate realism of empathy (yes, an emotion), which makes every being feel the joy and pain of every other being, that is, the reality of every other being. That is why realism must rule: to reach true harmony by solving cognitive discord. It begins with simple things, because everything needs a BASIS. Without the basis of individual discipline and responsibility there can be nothing long-term for the group. Idealism is the opposite: setting the individual subjective above the objective good of the group.