Shortly before Obamacare I went to the same variety of specialist in that closer city. I called on a Monday and was in to see him on Thursday morning. Now, the three closest clinics to me have no doctors at all between them, just nurse practitioners and physician assistants. If your condition isn't on their short script you get an appointment in six months with a different nurse, or directions to the emergency room. I'm not claiming this is the general experience, but my experience has vastly enshittified.
The specialist nurse that took me six months to see? He ordered a test and scheduled me to come back and discuss it with him in another six months. Maybe I'll get another five minutes of his time then.
As another commenter said, there’s been an exodus of specialists from rural areas. This is a global phenomenon, not limited to the US.
Basically, if you want really good healthcare, you need to live in or near a very large city. (Albuquerque is not a very large city.)
Another thing that's probably changed in the US is larger healthcare companies taking over doctors' practices and enshittifying them to increase profits. Doctors are happy to sell because they're getting close to retirement, and/or tired of dealing with all the administrative hassle on top of actually being a doctor and caring for patients. I've read about this type of thing greatly affecting veterinary care in the US too.