The point of automatic properties is they are very quick at creating a public access to some field in your class. Now, they offer no benefit over exposing straight up fields to the outside world, other than one big one.
Your class' interface is how it communicates with the outside world. Using automatic properties over fields allows you to change the internals of your class down the road in case you need to make setting the value of that property do something or check authorization rules or something similar on the read.
The fact that you already have a property means you can change your implementation without breaking your public interface.
Therefore, if this is just a private field, an automatic property isn't really that useful, not only that, but you can't initialize public properties at declaration like you can with fields.