[SpicyLemonZest]

The question isn't whether they're playing the same game. Indeed, it'd be surprising if they were, since the goals and principles of the two parties are often quite different. The question is whether "aha, that other party has decided to do the wrong thing rather than the right thing" is a helpful way to conceptualize the difference.

As another reply to you has shown, it's very easy to find specific differences and elevate them to an all-encompassing explanation, if that's how you decide you want to look at things.