The Wikipedia source on the first link doesn’t say what the citation claims it does, if you follow it.
I followed the link to the report and it’s not clear whether the 39k number is total combatant casualties, but you can just calculate from the civilian deaths where the estimate is at least 112k-122k civilian casualties out of 174k total, which is ~70%. You’re acting like that 7% difference is a big gotcha.
And I don’t know why you’re acting like the US being responsible for 80% of casualties in Iraq is a wild idea. We massively overpowered the limited Iraqi capabilities. They had much fewer combatants and didn’t even have the ability to drop bombs. The CCR isn’t about a particular side though, since you’ll always get into muddy questions of who was responsible for a particular death. It certainly wasn’t the case that we were mostly just killing terrorists.