How is putting information on the homepage of the correct site going to help people who have gone to the wrong site? Pretty much nobody is going to go to both s

How is putting information on the homepage of the correct site going to help people who have gone to the wrong site? Pretty much nobody is going to go to both sites to see which looks most "legit". At best they'll assume that the sites are mirrors of each other, at worst they won't even notice two in the search results.