First, you are talking about the rights of an end user to use an app. That's different. I'm talking about the rights of a developer to distribute an app built against these libraries and APIs. The FSF says that if you did this with GPL libraries and APIs, this would require your app to also be available under a GPL compatible license.

Furthermore, whether you paid for a thing is not relevant. What matters is whether the license conditions are satisfied. You can pay for a boxed copy of Red Hat Linux, but that doesn't absolve you of the responsibilities under the GPL.

And finally, licensed Apple intellectual property is absolutely contained within the binary of your iOS application.