Earlier quoted context omitted.
I don't think Sweeney wants the same software to be available on every app store. He wants users to have a choice of which app store to use. Effectively he wants the same deal as there is for PC gaming - eg multiple stores available that users can choose from - to be the case for mobile (and possibly consoles as well).
What? He explicitly forces users to use his/the Epic store, smh.
Apart from Epic there are many other distribution opportunities on the PC platform. This is not the case on iOS. You either make a deal with Apple - and a very lousy deal at that, or you're not on iOS (the same problem exists on game consoles).