It's very unlikely for those to actually see anything from 10,000 light years away without the obstruction of; Planets, asteroids, stars and probably a ton of space debris as their civilization has gone pretty far. It's either the thing you see is the binoculars warping to the location you should see, is or it's somehow going around objects.
There's also my confusion on why Earth is still the same when she arrives. By that time Earth would've been destroyed by countless asteroids and wouldn't even be in the same location. In fact, by that time the milky way would've been absorbed by a black hole.
Sorry for not reading the room, but I just needed to get this off my chest