- better cornering speed due to power being pushed through all wheels which increases cars stability
This isn't really true. With modern stability control each wheel is braked to allow it to gain traction. With AWD you are using a portion of your grip to drive, and the other portion to turn.
What you do gain with FWD is the ability to 'drag' your rear wheels around and drive directly where your wheels are pointed. Most cars have a front weight bias, so having FWD helps in that you are driving the wheels with more traction.
Really all AWD gets you (assuming good stability control) is more overall traction giving greater acceleration in poor grip situations. That and most AWD will function as FWD giving the 'dragging' dynamic which is beneficial at really slow speeds.