It was already done. UA taken to the opposite side of the bubble. Merope.
That doesn't mean that someone couldn't do it again if he likes.
It's certainly not something I'm desperately wanting to do myself. Am I correct in understanding that somebody has taken one to Sag A* and it was still pointing to Merope?
If I'm right in remembering that, then unless those responsible are on the FAR side of the Galactic core, then it settles that argument. I can't see this mystery leading players hundreds upon hundreds of hours of pure travel time to the other side of the galaxy haha.