I think people are reading a lot into the 'anywhere' comments from Phil...
The 'rhetoric Phil espouses' of anywhere, any time, any device is the Satya MSFT ethos for adapting cloud first business model and subscription services e.g. Azure and 365. So when Phil spouts off in similar language, it refers to cloud gaming and not 'I-want-to-put-all-games-on-our-competitors-platforms-kumbaya'.
Can someone find Phil's quote where he implicitly states that?