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You can distribute your own GPL code through the App Store. You just can't include other people's GPL code.

That would be enough for a useful "free for free software, pay for commercial development" model.

Nobody's forcing anyone to distribute their GPL'd apps though the App Store.

And what about on the android and windows app stores?

Windows app store explicitly disallows open source, I believe. Android is the only one that does not.

No, the GPL does not allow for further restrictions. The App Store doesn't care.

The App Store adds restrictions that are incompatible with the GPL. Who exactly "cares" is somewhat irrelevant.