The counter to AESA radar frying electronics has long been known, even before AESA radar existed, since the defection of a Soviet MiG-25 Foxbat pilot. It was discovered that his advanced aircraft didn’t have solid state electronics, but tubes, that were far more resistant to electromagnetic pulse.
While I’m not suggesting that drones should have tubes, the philosophy behind this was sound as an effective defensive measure. If nothing else, their electronics can be shielded, and they can fly blind for some seconds until the threat is over—something you can’t do in a high performance aircraft.
Likewise, turnabout is fair play. Since such aircraft are expendable, why not put a few in the armada that are designed to produce a powerful, directional electronic pulse towards a high performance aircraft? Instead of a 1000lb bomb, they carry a 500lb capacitor and a radar dish. And the best part is that even if they can’t use it against an aircraft, they can use it against ground targets.
Tubes mean the weight goes up. Propulsion and fuel weight goes up, price of drones goes up, relative payload goes down.