It seems like Federer likes playing while Nadal likes winning.
Exactly the opposite is true. Federer never liked playing. He liked toying and practicing but not playing tennis. And surely the only thing he cares about is winning. He himself told that.
Nadal likes to play tennis, every point, regardless of the score. He enjoys tennis itself. Right now he can't play, that happens. When Sharapova was out for more than a year because of the shoulder injury, no one believed she would be back. She was patient, she recovered, came back and completed her career GS. I am sure Rafa will be back too. It's just not the time, yet.