Earlier quoted context omitted.
Some of the 5% of Spartan women who were full citizens, perhaps. However, Sparta was an extremely unequal society, with some 85% either slaves or helots (also slaves, but owned by the state, not individuals).
Well, that goes for every commentary on ancient societies. Unless it's explicitly about slaves and outcasts, it's about the at most 10% of the society that wasn't. At some point the Romans got more people to participate on their society, but that's centuries after any of that.
This is absolutely not true. Pretty much no other society in history actually held more than 80% of the population enslaved like Sparta did. Rome certainly never did, nor did the other Greek states of the era.