Burnout can happen but will be different for individuals. I can get motivated and train for a road race (running) for several weeks. If my mileage gets too high, legs can't perform as well with lower mileage. You get the "don't give a darn." attitute. However, a short break and rest, it returns just like appitite or sex drive. Having goals are good, but you can overdo it.
I practice disc throwing and putting daily for 30 min or so in my yard. On vacations, I play a round everyday. Even then, I do not think I love it enough to do it daily for a long period. Physically yes, but not mentally.
I enjoy the game as recreation, but not as much as other hobbies I guess. We have only 24 hours for work, play and rest. Scheduling around a job can be tough.