Well, first, they could
Journalists are "embedded". All they shoot goes throug military censure. So, if American commanders wanted to suppress those shots, they could.
That being said, there is a difference between showing a POW being searched and led away, and asking questions on screen from the people whose comarades are lying dead next door, with bullet holes displayed to fill entire screen.
The Rumsfield's little speach first struck me as hypocricy. But wneh I could actually compare what we've shown with the Iraqi film (disclaimer: haven't seen the film itself, just still shots and transcropts), I saw the difference.
--
It made Ketchup!
Sweet Ketchup!
Put it on a hot dog, put it on a burger,
Put it on your sister and she'll holler blody murder!
Sweet Ketchup.
--Tom Paxton.