The increased performance of unmanned vehicles, as well as the cost savings of the whole life-support system (and perhaps, reduced pilot risk = lower training/HR embodied costs as well) seem like they might make such a system practical.
[1] Taking it a step further, you have a central control platform surrounded by defensive drone cloud responsible for point defence, active sensors (which you don't want to do personally since it tells enemies exactly where you are), and mesh/onion routed control links to your offensive drone swarm (so enemies can't infer the controller location from lines of sight intersections to the stuff they can see).
Even even further down the line, distribute the human controllers into the defensive swarm, so they're hard/impossible to distinguish from the "dumb" drones, and less of a Single Big Target worth hitting.
You'd look for the larger drones that never pull turns over 8.5g.
AFAIK it works by lowering the signal/noise ratio to the point the channel is useless for it's intended purpose.
Something with extremely tight focus via aimable directional antenna or phased array, along with spread spectrum hopping would be extremely hard to jam, because you need to get enough energy into the channel to mess with it.
GPS jamming can be countered by a better inertial nav system, and even the tightbeam comms themselves can be used to locate approx positions with enough links.
Regarding combat capabilities, is there any fundamental reason for their relative lack of performance beyond it being unnecessary/risky with high-latency comms? From a quick scan of current costs, you could get >10 Avenger/Predator C drones (~15M ea) for a single F-35 (~200M) or F-22 (~150M).
I suspect (but am utterly unqualified to say) that such an encounter would go badly for the (human) fighter, especially if everyone has modern AMRAAM or similar BVR weapons ("... we only need to be lucky once").
In fact that's one of the big reasons the U.S. requires their pilots to be commissioned officers, is because they have to be cognizant of the laws of war, current Rules of Engagement that are in force, the effect of a given attack on the geopolitical framework, etc. and this has to happen in an environment where they are the only ones with an accurate (or semi-accurate) understanding of the actual picture on-the-ground.