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.
I think you need to think about drone swarms or herds. Not all of the drones need AI or the same level of AI. Some drones will support the costs of a higher level AI and others will have lower AI capabilities and refocus resources on other capacities like attack. Simple drones in volume may be used to overwhelm defenses.
I agree, the anti-drone aspect needs to be low-latency. But I actually expect that soon, most drones will come with some anti-drones aspects, and some will will be multi-purpuse, capable of launcing some anti ground ordenance. For that part, they may come with a manual mode, for a while longer.
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.