Great question! I believe quick drying with high heat is probably not good for most shoes, especially those with natural materials; i.e leather.
In fact my method for drying my expensive full grain leather hiking boots with Norwegian welt soles has been to stuff them with newspaper and change the paper 2 or 3 times a day. Then I apply good a leather conditioner afterwards.
Good modern wading boots are made with hydrophobic synthetic materials that don’t absorb water and are not harmed by prolonged immersion in water. However the glues might not hold up well to high heat.
The hair dryer I used for this simple project has a low temp setting that gets to about
correction 83°F, or 28°C at the top of the boot pedestals; far below body temperature. The temperature slide switch has detents for low, medium, and high heat. I taped a simple barrier into the switch housing so it physically cannot go to the medium or high temperature contact detents. It is permanent until I remove it.
I am confident that boots made of either synthetic or natural materials will not be harmed by the airflow this boot dryer generates at 83°F, or 28°C.