Why is it not required to use typename for dependent types in the following case?

In a nutshell, you need typename to ensure the compiler that

std::remove_reference<int>::type

really is a type. Lets consider some other template

template <typename T>
struct foo {
    using type = int;
};

Here foo::type is a type. But what if someone supplies a specialization along the line of

template <> struct foo<int> {
    int type;
};

Now type is not a type but an int. Now when you use foo inside a template:

template <typanem T> 
struct bar {
    using type = typename foo<T>::type;
};

You have to ensure the compiler that foo<T>::type really is a type, not something else, because only looking at bar (and the primary template foo) the compiler cannot know that.

However, in your main the std::remove_reference<int>::type does not depend on a template parameter, hence the compiler can readily check if it is a type.

The types in the std::remove_reference traits are dependent types.

No, they are not dependent names here. The template arguments have been specified explicitly as int, int& and int&&. Therefore, the types are known at this point.

On the other hand, if you use std::remove_reference with a template parameter, e.g.

template <typename T>
void foo() {
    print_is_same<int, typename std::remove_reference<T>::type>();
}

then you have to use typename to tell that std::remove_reference<T>::type is a type as your expression now depends on the template parameter T.