None of that matters. It is irrelevant. If the genocides still happened, whether or not the Ottomans collapsed, or if the Iron Curtain happened, literally does not matter. Why? Because you are grossly underestimating the death toll of the Armenian genocide. There were 1.5 million Armenians in Turkey in 1914. The genocide began in 1915 and by the end of it over a million people were killed. If the genocide happened, none of what you mentioned matters. You'd still have over a million Armenians dead and their population in Turkey devastated and dispersed.

EDIT: Maybe the population growth bit matters but that's not certain. And I don't understand why they would have "fed into the Ottoman Empire". Why not Europe? Why not anywhere else BUT the country that was responsible for the genocide?