So that is why a Trainer plane for instance (which has a flat bottom wing), will fly more stable and more slow - because it generates more lift in level flight? But for this same reason it will not fly or not fly inverted well because it will be "pushed" down?

If you then have a symetrical wing, the plane will have "equal" lift inverted as up and therefore is good for aerobatics? But at low speeds and level flight it will not generate as much lift - therefore stalling earlier?

Do I have this right[] Or am I misreading here.