Yes. In fact, that's the beauty of this punishment. I think it would be far worse for him to see what's going on and wish he could be a part of it, then to not be able to see what's going on, and so not wish he could take part. As the saying goes, out of sight, out of mind. I can guarantee you that as long as this site isn't out of Gil's sight, it won't be out of his mind.