[salawat]

The sad thing is, "the air hitting bottom of wing > top where bottom is determined in reference to the side of the aircraft least distant from the Earth's surface assuming an experiment in Earth's atmosphere" is really the most concise and relevant explanation given all of the factors at work. At least until we start encountering significantly more dense atmospheres that mysteriously do not sink under realistic conditions and start trying to fly planes through them. You fly because you're a flat thing skipping off what essentially becomes a more dense surface underneath you than above you. If you didn't, you wouldn't be flying. You'd be falling. And yes, here's a crap ton of math, try not to think about it too hard.