No, I've said they have a will and can choose anything that they want.
Maybe you misunderstood my argument. A person can choose anything they want. It's what they want(desires) that's corrupted so they will never want to choose to come to Christ.
True.
I don't accept contradictions as truth. I will however recognize that some things may seem contradictory, but I may not have all the facts. I don't think that is going on here. A person choose anything they want. They are free to do that. They(unregenerate) will however never want/desire to come to Christ. Therefore they will never choose until that desire is changed.