重载是编译时多态性.真的吗?

I do know the syntactical difference between overriding and overloading. And I also know that overriding is run-time polymorphism and overloading is compile-time polymorphism. But my question is: "Is overloading is really compile-time polymorphism? Is the method call really solving at compile time?". To clarify my point, let's consider an example class.

public class Greeter {
    public void greetMe() {
        System.out.println("Hello");
    }

    public void greetMe(String name) {
        System.out.println("Hello " + name);
    }

    public void wishLuck() {
        System.out.println("Good Luck");
    }
}

由于所有方法 greetMe(), greetMe(String name), wishLuck() 都是公共的，它们都可以被覆盖(包括重载的)，对吧?例如，

public class FancyGreeter extends Greeter {
    public void greetMe() {
        System.out.println("***********");
        System.out.println("*  Hello  *");
        System.out.println("***********");
    }
}

Greeter greeter = GreeterFactory.getRandomGreeter();
greeter.greetMe();