For what reasons does the narrator of Men Without Women suggest that men who have lost women should adopt the unicorn as a symbol of their plight?

While looking at a unicorn statue in the park, the narrator decides that the group of people identifying as "Men Without Women" (222) should adopt the unicorn as the symbol of their unique plight. The narrator says that every unicorn seems to be a male and that "he is always alone, sharp horn thrust toward the sky" (222). For these reasons, he suggests that the group adopt the unicorn as their symbol.