If your GS is friendly with other dogs, I wouldn't worry about it. Every dog is different, but my experience with GS is that they are friendly with other dogs. A close friend of the family had a GS, and they used to take in all kinds of stray dogs. The GS never had a problem. The GS was so gentle that it even got along with the stray cats. Just because your dog doesn't like to be bothered by people it doesn't know, doesn't mean it won't get along with another dog.