This is excellent and straightforward. People seems to get really confused and surprised that lift can be as simple as pushing air down to generate a counteract

This is excellent and straightforward. People seems to get really confused and surprised that lift can be as simple as pushing air down to generate a counteracting upwards force. But it is that simple. The shape of the wing is about pushing air downwards with minimal energy expenditure to doing other things with the airflow. There's no need to over-complicate this thinking.