The author kind of lost me in the first few paragraphs because she bases her entire thesis on this idea that we frame freedom in terms of having many choices. But I've never heard anyone do that! As you said, people generally recognize that having choices available is a prerequisite to freedom, but they do not require it to be a large number of choices, nor associate more choices with more freedom. So the author's entire argument seemed to me to be based on a strawman.