I time-travel a lot. Actually... My game isn't even set to the correct date anymore. I'm playing in March 2013. I plan on playing through spring/summer forever, instead of doing the seasons. The reason I do this is because I live in a place that gets lots of snow, and I don't see snow as fun -- I think it's depressing. The dark sky in the winter depresses me in real life, and I couldn't stand seeing my town like that in my game, so I set my clock back to spring. I've been much happier since I started playing in spring.
I understand why some people don't time travel, but I found it necessary to enjoy the game.