You've made weird deductions and extrapolated on top of that then you reject that caricature you've created. That has never been stated.
It would be helpful if we can try to keep this in plain English.
> Either one has the agency to make and agree to a contract or one does not
People can have both agency and still use that agency into making an indirectly coerced "choice". The fact remain that it's coerced, and thus not particularly free as in freedom.