The statement that best analyzes the allegation that the Armenian genocide was not a genocide is:
"The tensions brought about by World War I and religious intolerance allowed the Turks to justify the violence of the genocide."
This statement addresses the context of the genocide, emphasizing the factors that may have been used to rationalize the actions taken against the Armenian population, while also highlighting the role of external pressures and internal dynamics within the Ottoman Empire during that turbulent period.