Complete battlefield dominance encourages enemy combatants to comply without putting up a fight.
If a soldier is in the field and sees a potential combatant, then in many cases one of them is going to die, either from one of them proactively taking the other out or in a firefight caused by fear.
The robot would likely be heavily armored. I don't know many people that would shoot at an armored and armed robot.
That situation will hopefully allow US commanders to take more time to evaluate the situation, allowing them to make more appropriate calls on when or if to take down a potential threat.
That's assuming that the power the robots give the military makes the commanders and operators morally good. Rather than "it's their lives or our troops lives" the philosophy would be "achieve the mission with as little loss of life as possible."
Combat operations are not going to stop, but unnecessary killing could be reduced on both sides with robots and complete battlefield dominance.