It probably doesn't feel great to be outnumbered and fought into a corner. That's probably why American troops tend to avoid those situations.
Or attack in another direction.
You never know what surrender could bring. At best, the unit is just out of the war 'til the end. At worst, the officer in charge might just get everyone killed.
Maybe it's better to risk a fight to the death.
1. "I have not yet begun to fight."
– John Paul Jones, Continental Navy Captain during the Revolutionary War.
While at the Battle of Flamborough Head, John Paul Jones and his combined American and French squadron of ships went head-to-head with large British frigates protecting British shipping.
Man of few words. Well... one, actually.
Major General Maxwell Taylor was at a staff conference in the United States when strong German armor units surrounded the 101st around the Belgian city of Bastogne. General Heinrich Freiherr von Lüttwitz sent a surrender demand threatening to annihilate the U.S. troops if they didn't capitulate.
McAuliffe's response was interpreted to von Lüttwitz as "go to hell."