The Damos was a “Sparta only” political body, so it did not include enfranchised citizens from outside the city like other Greek Poleis. And there were certainly some eccentricities in its implementation. It did not include all of the Spartiatai (eligible Spartan citizens) or any Helots. Since all members were Hoplites, those outside the military were not represented.
Beyond these political changes, sat the redistribution of land as the practical force behind the leveling of the classes. New landowners found themselves better off than they had been previously, even though they could never really become peers of the wealthy.