Custom view will not render. Only the Active Camera view renders when you create a movie.
The Active Camera view renders when you preview by default because that is the only preview that will render as a movie.
You can make other views render by hovering over the other view, right-clicking, and selecting Preview/Play Current View from the popup panel.
I've never seen the need to take the time to preview anything but the Active Camera view, because that is the only view that counts. I only use the other views to help me line up 3D layers.