Earlier quoted context omitted.
"2500+ years of continuous operations" I see it repeated a lot, but Iran is not a direct descendent of some Persian empire, it was conquered by Greeks, Arabs, Turks and Mongols and ruled by Arabs and Turks for most of its history. These nationalist myths are not taken seriously for western countries but that criticism usually does not extend to foreign myths
More like 5000 years, Susa is nearly as ancient as Sumer. Also the Iranians have cultural continuity going back that far, unlike the Egyptians, Iraqis or Indians. Only the Chinese rival them in that respect.
Is the Islamic Republic more culturally similar to the Arab Khalifate it professes to emulate or Cyrus?
Also you brought up Sumer, how is Iran related to Sumer more than it is related to the actual Mesopotamian empires? I never heard someone claim that