They may not have cared about losing lives when they invaded but the American public quickly got sceptical about the war once they realized that their soldiers were getting killed. I think this definitely put some restraint on further military action.

Cheney himself was not:

https://m.youtube.com/watch?v=YENbElb5-xY

> "We will be greeted with flowers"

That and American flags -- which, at the time, I wondered where they managed to get a bunch of flags?

Yeah, yeah, I know people don't like to hear that the Iraqi people were actually glad we were there in the early days of the war and greeted us as "liberators"...

Just curious if you saw that in the media.

If so maybe that answers the first part, where they got the flags, and also makes the second part worth little to nothing.

Nope, saw it firsthand on convoys running around the countryside and also while buying cigarettes and whiskey from the good people of Iraq.

Didn't see the media other than occasionally seeing them driving around in their landcrusers.

They cared enough to pressure news reports into not airing any footage of dead American soldiers though. Modern politics are always about optics. Caskets with American flags draped over them are bad optics, especially when there's lots of them all the time.