Such a program wouldn't be creating knowledge as it played (in Deutsch's terminology)

If that is true, (and you don't just mean that it only generated the knowledge when it solved the game initially, and is merely looking up that knowledge during the game), then I don't care much about whatever it is that Deutsch calls knowledge.

My initial point was merely that a statement was false.

It was not false. You were just confused about the referent of "chess AI".