In the end, the statement is correct. Real democracy must be accompanied by universal adult franchise. When limitations are placed on who can participate in a democratic setting, then the entire premise of democracy is diluted, if not outright rejected. In Greek, the word "democracy" literally means, "people rule." This stresses the idea that in order for the system of government to work, there must be universal adult franchise.
This has been seen in the history of different nations. For example, the United States progressed towards democracy not when it gained independence. Rather, when it made provisions for people of color, women, and young people to vote in elections, the nation progressed towards real democracy. The enfranchisement of adults became the means by which real democracy was recognized in American History. In order for any democracy to be real and authentic, it must ensure that there is a universal sense of participation in the political process.