Ok, let me start with saying that I am not an aerospace engineer either, nor a pilot. Not sure if there is an easy answer. But don't forget the control inputs and pitch level, it's not just a matter of wing profile. Even when you are flying right side up, you have to balance your pitch to your speed by using the trim. Your lift is reduced by having the inverted wing, but it's not completely converted into a downforce, the wing still creates lift only with lesser effect, which may not be enough to keep you flying unless you adjust your pitch and speed. Because you adjust the pitch of your aircraft, you can still generate enough lift to keep flying, depending on your speed and aircraft characteristics of course. In fighter jets, the wings are flatter, speed contributes more to lift than the wing profile, and the computer will make adjustments for you.
I think we need an aerospace engineer on this forum to provide some better drawings and explanationsÂ