Some have moved to the Republic of Armenia since its independence. I know some people who have done that. Many or most diaspora Armenians, however, while feeling a connection to Armenia, are content to stay where they are. You have to remember that most diaspora Armenians are descended from survivors of the Genocide, who were driven from their homes in what is today Eastern Turkey (Western Armenia.) When I was growing up, that is what my grandfather referred to as the homeland. So while there is a connection to the Republic of Armenia, it is not the ancestral place of origin of many Armenians in the diaspora.