The article is about app and in-app purchases that Apple gets a cut from. Lyft and Uber are in different category and don't pay any fees to Apple on ride purchases.
Just to add a bit of info... in-app purchases are required for things like extra functionality. On the other hand, if you’re using the app as a gateway to a service that is provided outside of the app, you can process payment outside the app. Anyone who can reasonably make this argument tends to do so, as Apple charges ~30% of everything that goes through in-app purchases.
