Q.container grown fruitless mulberry
Is it typical for a container grown fruitless mulberry to have its leaves heavily damaged by 22 to 28 degree overnight temps? I haven’t planted the tree in the ground yet, but most of its leaves curled, withered and dried up after two nights in the 20s.

Yes, this is typical. Container grown plants react to the cold the same as those in the ground. Here is some information on how to care for a cold damaged plant:
https://www.gardeningknowhow.com/plant-problems/environmental/tips-for-saving-cold-damaged-plants.htm
https://www.gardeningknowhow.com/plant-problems/environmental/how-to-treat-frozen-plants.htm