President = advantage over Congress in foreign affairs

It is generally thought that Presidents have advantage over Congress in conducting foreign affairs. This is because of the formal and informal powers of the presidency. The President and Congress both have formal constitutional powers in making foreign policy. However, the president has advantage over Congress because he has many informal powers, such as access to media, meeting with world leaders, being recognized as a world leader, making executive orders and agreements, mediating, etc... . These informal powers, I believe, contribute to the presidents advantage over Congress when it comes to informal affairs. What do you think?