I don't think this is really true. History mostly just shows that hegemonic powers rarely end well for other countries, and ultimately even for the people under said hegemony. The same will obviously be written of the US in the history books. We've invaded, overthrown, or tried to overthrow so many countries that you'd have a far easier time counting the countries we haven't tried to dominate in one way or the other.
And historically many of the greatest eras under Ancient Greece and Rome were under autocratic systems that advanced humanity by essentially every single metric. For that matter China has been among the most powerful countries in the world countless times - yet I think relatively few would ever know this because it's always been a quite insular nation, and never pursued hegemony in the same way as Western empires. Of course that could change but it seems extremely unlikely. Pursuing the perpetuation of global hegemony has been anything but fruitful for the US, and it should be a great lesson for the rest of the world. Those times, not just of the US - but of any global hegemon, are probably behind us.
And historically many of the greatest eras under Ancient Greece and Rome were under autocratic systems that advanced humanity by essentially every single metric. For that matter China has been among the most powerful countries in the world countless times - yet I think relatively few would ever know this because it's always been a quite insular nation, and never pursued hegemony in the same way as Western empires. Of course that could change but it seems extremely unlikely. Pursuing the perpetuation of global hegemony has been anything but fruitful for the US, and it should be a great lesson for the rest of the world. Those times, not just of the US - but of any global hegemon, are probably behind us.