The concept of equality has always been more of an aspiration than a reality. With wealth comes greater power and influence. You can't expect a small time app developer to be accorded the same attention or treatment as a more influential, major player like Uber or Facebook.
Banning Uber from their iOS platform would have damaged Apple as much as Uber. We can argue until the cows come home about whether Apple would have carried out their threat had Uber not capitulated, but at the end of the day, the issue was resolved and all's well that ends well.
But hey, Apple dared to expunge Google Maps from iOS, so that was clearly a dare Uber's CEO decided he wasn't prepared to take Apple up on.