Only the part of the tilemap that is onscreen will paste, and since the player is offscreen nothing is drawn. That is done by C2 by design and under normal circumstances it reduces the render load. It isn't ideal for the paster plugin though. I found a workaround that involves leaving the paster object on screen and instead move the tilemap object.
Such a workaround should probably be built in but I've lost interest in working on plugins unfortunately.