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1. I own a psp 1k, 2 ds lite and my sister owns 1, I have a wii and xbox 360 so no I'm not just a psp user/fanboy/whatever. I play all my consoles about equally, but if I find a good game I stick with that console til I get another game.
2. Closing the ds works, but it's not "off". The DS is still on and wastes battery. It's good if you need a break or have to go do something while in the middle of a game.
But it's fine if it doesn't have the feature, I'll just close DS or save and turn off.