Well, there are two sorts of freedom that we ascribe to: one of religion, the other of metaphsyics. The latter sort is the center of attention here, and I would certainly agree that God as a first cause is responsible for the actions of the following effects if indeed they do not have the capacity to work contrary to the intentions of the first. This is the philosophy of Jonathon Edwards, who argued that there cannot be a desire contrary to the individual will without Him already placing it there to begin with...which ultimately means that God desired conflict with Himself through the person of Satan, whcih is absurd. Furthermore, is not a God who can work all things in accordance with His will one who is superior to one who coerces?
However, the form of freedom popularly ascribed to here is theological -- it is the idea that we cannot initate our own salvation (Pelagianism); that we are slaves to sin, though groups would disagree as to whether those who are not yet born of faith sin perpetually, or not. I myself do not believe they do. The moral law of God inherent to every individual is the paradigm by which the unregenerate follow, until they are given the divine agapas that makes them capable of disposing of the condemnation of the written law, for love is the end of the law. Moreover, I find that Paul speaks of the unredeemed capable of not sinning when he speaks on this very fact:
"For when Gentiles who do not have the Law do instinctively the things of the Law, these, not having the Law, are a law to themselves, in that they show the work of the Law written in their hearts, their conscience bearing witness and their thoughts alternately accusing or else defending them, on the day when, according to my gospel, God will judge the secrets of men through Christ Jesus." -- Romans 2:14-16 (NASB)
This seems to reveal that the will to sin is not continual for the natural man.
But yes, I agree with your original statement.