Interesting data points, but in isolation polling seems to be a rather poor method for determining this.
More conservative viewpoints are also associated with higher stigmatization of mental health conditions[1] and one indisputable measure of a mental health crisis (suicides) is more prevalent in rural areas compared to urban[2].
This seems like an obvious confounding variable. If you poll people have they been formally diagnosed with a mental health disorder, and one group of people refuses to seek treatment for it in the first place due to stigma, then _of course_ fewer of them are formally diagnosed.
[1] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6600024/ [2] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8909802/