Yes, I went to a neighbour's city and finished their needles wonders and then when I got back to my city my needles show the same as the neighbour's I had just finished. I closed and reopened my needles and it still showed the neighbour's information. It corrected when I reloaded the game. I even wondered if I'd somehow stayed in my neighbour's city so after I reloaded I went back and their needles was in a completely different spot with different surroundings than mine, so I definitely was in my city, looking at their AW contributors in my needles.