I love the WW1 analogy!
I think anti-drone drones are going to quickly move to being autonomous. No one's going to worry too much about "accidentally" taking down a simple drone and the threat of just one kamikaze drone getting through is too high to chance a delayed human reaction. Plus jamming or other measures will make direct control more difficult. An army will likely have a few circling "CAP" drones overhead at all times.