The Arecibo Message was aimed at the globular star cluster M13, but as far as I read, M13 will move out of the original position and thus not be able to receive it. So, who or what will be able to receive the message?
The Arecibo Message was not broadcast with the aim that it would intercept with a notable astronomical object. Neither do we realistically expect that anyone will ever listen to the Voyager Golden Records.
Such symbolic gestures are simply vectors for public relations and education. We send these "time capsules" into space because we can, as a showcase of our technological achievements, and as a token of hope.