Thanks, yes it seems it's a bad idea to add capacitors after one of these.
I'm still in doubt about the ground plane fill though. For the signal, the virtual ground is the ground, however for any control circuitry, the negative rail is.
If I have a microcontroller on board, it complicates matters further, as now I have a digital section that should be separate from the analog ground to cut off ground noise... (And likely an additional supply voltage line from some kind of voltage reference circuit.)
...also, let's think of a scenario where the device will be plugged into some kind of earth ground referenced box, like a hi-fi or a mixing table. Then the virtual ground is referenced to earth ground. Would that affect the rail splitter?