Liability
Locked Account.
The pre-conditions set forth in the OP's "thought experiment" are too absurd to make the effort useful.
"Services are free."
Uhm huh. Free lunch. Who pays? How?
The system invisioned cannot work. Absolutely impossible.
Lord! Not one conservative was able to give a coherent answer, and they still wonder why they are politcal failures?
Liability, the answer is given in the TE and there are places today that are close to the premise.
Once more, this is a thought exercise, what does the woman do and why?
Good Lord, you liberoidals are idiots.
"Thought experiments" premised on the impossible are of less than no utility.
If Lincoln had not been assassinated, based on a string of absolutely valid logic, ANY conclusion can validly follow.
If there is no possible way to achieve "absolute equality," then premising a "thought experiment" on it is just as meaningless as a premise which posits that an historical fact did not occur.