Southern NH here and I would be interested to see if NH's eye-watering property taxes (when you only have one lever, it gets used a lot) have a similar effect as Chicago. Personally, being somewhat involved in city politics, while I appreciate your take, it does mean pricing people out of their forever homes when they've done nothing more than retire to a fixed income in the middle of a bubble. I don't have the answer, but I can definitely imagine the fear of the unknown seeing you will not only be forced out of your home but your town and region to find something affordable.
I lived in Nashua. There is zero new construction going on, lotes are very big so there is a lot of wasted space. The result is that housing is too expensive.