Should template template parameters be used for a policy with a state?

Question

As pointed out by this post, in 'Modern C++ Design - Generic Programming and Design Patterns Applied', Andrei Alexandrescu uses classes with template template parameters to implement the policy pattern:

// Library code
template <template <class> class CreationPolicy>
class WidgetManager : public CreationPolicy<Widget>
{
   ...
};

Now, suppose that the policy class has a state (i.e. it has non-static members) and that the host class stores an object of the policy class:

// Library code
template <template <class> class Logger>
struct Algorithm
{
   Algorithm(Logger<Event> &logger) : logger_(logger) {}
   ...
   private:
       Logger<Event> &logger_; 
};

The user will probably write something like this:

using MyLogger = ConcreteLogger<MyEvent>;
MyLogger log;
Algorithm<ConcreteLogger> alg(log);

Since the user needs to instantiate ConcreteLogger, is there any remaining advantage in using template template parameter in this case?