The nice thing about this game is that AC is a paragraph each month (with thread links) saying what your character did. You only get into trouble if you have several months where you don't really do stuff
they remain in the game world, but there are ways to find out. I believe one way is just to straight out ask Kyuubey how the wish was fulfilled. I saw one person who was going
And wishes don't necessarily have to require you to be in your home world. If it's something that affects you personally, you see it in your Magus ability.