The only part of the ruling that Apple lost is over a point they had previously conceded to settle the Japanese antitrust investigation.

>SAN FRANCISCO/TOKYO, Sept 2 (Reuters) - Apple Inc (AAPL.O) will let some apps like Netflix Inc (NFLX.O) provide links to their websites for user payments, a small concession that would allow app developers to bypass the controversial 30% App Store fee the iPhone maker charges.

https://www.reuters.com/technology/apple-says-japan-fair-tra...

They might want to challenge the notion that a California law can be used to force a change in the way you do business in other states, but that's about it.