It sometimes happens on my 2002 Corolla. Feels like I'm driving my old domestic land yachts from the 70s-80s - with their overboosted power steering - just sneezing on the wheel would cause it to turn.
Double check the tire pressures and how the tires look. Could be the alignment got off, or the tires are running higher than usual pressure (makes steering easier) or worn down to a point where they don't have much rolling resistance (this tends to be more apparent when the tire is getting close to 1/2 worn down).
Another possibility, is that the pump or rack is faulty. Could show up as a sudden overboost / hyperactive steering. Happens usually on trucks with the recirculating ball type power steering, but technically could happen to any hydraulic setup.
I'd keep changing the fluid - make sure you work the steering wheel back and forth a couple of times (try it with the front wheels in the air / car is running) - to make sure the new fluid gets circulated. Nothing fancy - just suck out the old fluid, replace with new fluid, work the wheel back and forth, repeat until the fluid is clear/consistent appearance to it.