Not happening, at least not in this way. Probes might “seem” cheap, but that’s a huge amount of memory to take up, round robin updates are slower the more probes you have for a fixed cost, have massive light bleed problems as it is, and making them work with materials is even worse as you have to importance sample each one to generate the baked in roughness mips for spec reflections.
Basically there’s absolutely no “silver bullet” or “easy way” to do global illumination in realtime. EG The new Assassin’s Creed uses dynamic probes, but also uses a separate diffuse term as the probes don’t have enough spatial resolution by themselves. The games spend a huge amount of time on GI, to the point where they spent an entire year just optimizing it enough to get it to run on consoles properly at all (Unity to Syndicate). The GI is also only relightable, no dynamic geometry, and seems to be only for sunlight.