FOG3

The thing is Burkes aren't being purchased in the concept of battleships, there's over 50 of them already built.

Your key word:
Get Lucky

Of course, someone already got ridiculously lucky against the USS Cole of the Arleigh Burke-class and failed to do anything that wasn't repairable seems as how the USS Cole is presently still in active service.

Sensor and weapon drones are sensor and weapon drones. Something P-3s drop in large quantities. Designing an intentionally expendable vessel flies in the face of the established and proven N-square law. There's a reason the drive was towards Battleships and not simply swarms of frigates, before the Carriers came in to their own.

I'm not sure why you're focusing solely on USVs. UUVs would tend to be able to pick up on anything on or under the waves with less fuss, and would probably be a cheaper alternative to sonobouys in the long run due to ease of pulling them back in. Captor mines already give the ability to sow areas with intelligent munitions capable of taking out things that ride on or below the waves. VTUAVs (Helicopter drones) are in develop in addition to continued UAV development otherwise.

So what you're really saying is you're full behind the DD(X) and Virginia programs, because the Burke and Los Angeles are both maxed out already and thus not really able to take advantage of developing UUV tech.