Even more far fetched: Italian fascism considered itself the continuation of the Roman Empire (the middle ages did not count, somehow). Does it mean that they were 2000 years old for a bit? But then, nowadays Italy consider itself the descendant of fascism (with a tinge of shame) but not of the Roman Empire. Can we pick and choose our lineage?

China consider itself ti have been a consistent country since (handwave) basically forever. Is that enough?