Imo its the other way around.
If you experience art, you think about it and try to get a meaning out of it (even if there is none, as in some modern art pieces).
But if you just play a game you are not getting the art-aspect of it, you just enjoy it for the gameplay or maybe even the story but not for the deeper meaning.
Art might not be about thinking while you are experiencing it, but it most definitely is about thinking about the experience afterwards, as much as experiencing it in the first place.
Imo its the other way around. If you experience art, you think about it and try to get a meaning out of it (even if there is none, as in some modern art pieces). But if you just play a game you are not getting the art-aspect of it, you just enjoy it for the gameplay or maybe even the story but not for the deeper meaning.
No, art is not for thinking. Books are for thinking. Art is for experiencing.
Art might not be about thinking while you are experiencing it, but it most definitely is about thinking about the experience afterwards, as much as experiencing it in the first place.
Not to mention that books are often art.