Yes, example is correct (starting from Spring 4.3 release). According to the documentation (this for ex), if a bean has single constructor, @Autowired annotation can be omitted.
But there are several nuances:
1. When single constructor is present and setter is marked with @Autowired annotation, than both constructor & setter injection will be performed one after another:
@Component
public class TwoInjectionStyles {
    private Foo foo;
    public TwoInjectionStyles(Foo f) {
        this.foo = f; //Called firstly
    }
    @Autowired
    public void setFoo(Foo f) { 
        this.foo = f; //Called secondly
    }
}
2. At the other hand, if there is no @Autowire at all (as in your example), than f object will be injected once via constructor, and setter can be used in it's common way without any injections.