That is a superficial definition of “free” will. To the extent we have available choices at our disposal does not grant us libertarian free will. It just means we have more options on the table. Yes, we have more freedom to move about, to do more things in life, but you are conflating two different definitions of “free”. Throughout the book, Decline and Fall of All Evil, the author uses the phrase: “I was compelled of my own free will” to mean “I was compelled of my own desire” which is not a contradiction if you understand how the terms are being used. Similarly, using the word “free” to mean more options does not mean we have freedom of the will. We have to define words clearly in order to communicate effectively.
We are all limited by our environment, our income, our knowledge, our heredity, our culture, our predispositions, our subconscious desires and fears, etc. Regardless of the reasons for the choice, it was never a free one because we are compelled, based on all of the above which include the options available at that moment in time, to move in the direction of greater preference or satisfaction. It is impossible to move in any other direction, which means once the choice is made, it was the only choice that could ever have been made. IOW, we would get the same result if we were able to rewind the clock and repeat the same instance before making the choice.