Chu im not gonna answer you because you obviously wont budge XD
Its clear from your response.
His approach is very versitile, because of his many tools for doing so, and his double jump is one of the best in the game. Fast falled up air, neutral air(sometimes), and fast falled back air are all pretty good approach options, but only because of his grab and jab. All of those options have very little landing lag and falcon falls fast, so you can often jab or grab the retaliation. Of course, falcons approach isnt GOOD, and the key to playing falcon is baiting with his speed (and though baits are player specific, ganondorf cant bait when he double jumps because his moves lag and hes slow in the air, and falcon has better options for this than many top tiers as well).
His defensive options arent great, depends what you mean by that. Jab is a great defensive tool, leads to a bunch of stuff, etc. His up air has massive range on all sides really, and its a very nice tool to whack shields adn back off.
His OOS sucks ill give you that, but i mained yoshi for a year and a half (now i main wolf, 2nd falcon) so anythign is a blessing xD
Airspeed is mostly for punishing, quick mobility around the stage, etc. Just because he doesnt have huge air control doesnt mean this isnt a massive bonus. If he had meta knights air speed hed be definately the worst character.
Saying that an opponent needs to make a sizable mistake is simply not true, with any character, except at the very highest level of play, in which this applies for many characters