My volvo also has a "not perfectly tuned" PID loop. With "autopilot" engaged it keeps weaving constantly left and right inside the lane im in. Have gotten used to keeping a firm-ish pressure on the steering wheel at all times to compensate. But drivers behind me must have thought me drunk before i got the hang of it.
This is lane keep assist not lane centering and dangerous to use as a lane centering feature as it’s not designed to do that hence the ping ponging behavior
Lane keep assist is always enabled, this "copilot" or whatever it's called is an extra feature i can manually enable over the default lane assist. And it will steer and follow the road quite well in most conditions. But sometimes it starts the ping pong behaviour.
Should also be noted that i never take my hands of the wheel. And the volvo is quite fast at beeping at me if it detects that i dont hang onto the wheel.