Is it the case that there are two actors for the things that pop in?
One for “distance mesh” and one for “close up actor?”
If so, you need to hide both the nearby and the far-away one.
It’s also possible that the same actor is rendering the two modes, but has some distance logic that turns the actor visible/invisible based on how the camera moves.
E g, the camera moves overhead, the actor re-calculates what meshes should be visible, and makes the distance mesh (and itself?) visible.