Theses temps are important. I didn't get into that because I was trying to make ONE point.
A lot of people draw bath water that feels luke warm. Well our body temp is 98 degrees, so warm water to us is way too hot for your snake.
After I clean out the water bowls I just put cold tap water back in. About 75% of the time my snakes will be in their bowls within minutes after the freshening up.