She's near Baton Rouge, but the article took a statewide focus. I do think in urban areas in particular open appointments are more reflective of increasing supply, slow communication about improved availability, and a certain degree of discouraged people who stopped checking as often out of frustration with the difficulty in finding an appointment, and that as word spreads that it is easy(er) to get one now, demand will bump up as those who want the vaccine but not enough to stalk appointment sites start booking.
Like most things in the US, I suspect this will be heavily regional. In the Detroit metro, demand still appears to outstrip supply, particularly at the walk-in clinics and at those providers where you have some say in what time you book an appointment for. But in Michigan broadly, the advice that if you can't find a vaccine in your own community/county, just head for the closest "red" area and you'll find one without delay is holding very true. But I do think timing, registration methods, and communication are bigger issues than hesitancy right now.
For example, my county had a lot of unfilled appointments this week... the same week vaccination opened up to everyone 16+ regardless of health or profession. But those newly-qualified people couldn't even add themselves to the pre-registration queue until Monday when they became eligible, because before that the pre-screener questions shut them out, so it will probably take a couple of weeks for the full impact of the eligibility change to show up in appointment volume. It seems like it would have been better if they'd done what Meijer did and let everyone pre-register so that they could be contacted when their group came up. Since that's the only wait list I was on that I haven't gotten a call from, I assume they've had no lack of demand using that approach.
California is another example of what I was talking about above, though. My daughter got her vaccine over a month ago, when they opened up to food industry workers, but the screener tools on the major sites wouldn't let her book when the announcement was made that they were expanding to her group. She had to wait until the first day she was actually eligible just to try for an appointment, and even then, it depended on the provider. CVS updated their criteria before MyTurn did, but Walgreens and Safeway were both still using tighter restrictions that didn't include the newly eligible groups. So some areas opened eligibility to 16+ this week... but this week's appointments were opened up last week and probably didn't allow those who just now became eligible to book them, so the impact of the expanded eligibility won't start to show up until next week.
I also think the fact that the difficulty in getting appointments has gotten so much press that people aren't thinking to look for last-minute or walk-up availability. You don't try to get tickets at the gate if you heard that a concert sold out in minutes, you know? So as unfilled appointments become the headlines and the nightly news segments, more people who want to be vaccinated but are in no hurry will start looking at their options.
