Without minimizing the tragedy that is the loss of any soldier, my feeling is that Reeder lacks any sense of historical perspective. Casualties among the American forces would be considered astoundingly light by military leaders of any other period in history. Consider a couple of examples:
http://www.napoleonguide.com/windies.htm
While there were very few major battles, casualties were extremely high among European troops as tropical diseases struck with regular brutality.
"Over a period of a decade, more than 45,000 British soldiers died while serving in the West Indies - with fevers being blamed for almost all of the deaths - and almost as many again were forced out of military service with debilitating conditions caused by the illnesses.
On San Domingo, where Napoleon Bonaparte sent some 60,000 men to topple the rebel black leader Toussaint l’Overture, more than 80% had succumbed to yellow fever - including his brother-in-law and expedition commander General Charles Leclerc."
http://www.nelsonsnavy.co.uk/broadside2.html
"The Brunswick went out to the West Indies in 1801 and was almost immediately hit by yellow fever with 287 men on the sick list. The Hannibal lost 200 men in six months. "
And lest one argue that these are cases of disease, not actual combat, here’s a typical siege from the Napoleanic wars:
http://www.ifbt.co.uk/san_sebastian.htm
(Vs. 3000 defenders)
“San Sebastian was taken soon afterwards although the castle of La Mota held out until September 8th. Allied casualties were 856 killed and 1,520 wounded. The aftermath of the storming of San Sebastian was much the same as that at Ciudad Rodrigo and Badajoz as the victorious troops embarked upon an orgy of destruction which was made worse by a fire that engulfed the whole town.”
And too many other examples from more recent history to mention.
No matter what you think of the ethics of the Iraq war, losses were historically low.