Estimates put the number of people killed due to the American invasion between half a million and a million. Saddam's brutality paled in comparison to the carnage the US invasion caused.

This also includes indirect deaths?

But if you add up the Iraq-Iran war and all his domestic atrocities it’s not that far (and these are only direct casualties).

During the years which followed after the invasion, lots did, yes. This is first hand account btw. Now? I'm not sure as the country has mostly stablised.