Is there any way to render the whole scene as X-ray wireframes?

Basically, I want to render the whole scene (animation) as I see in Blender when Wireframe mode and X-ray mode are turned on (Shift+Z, then Alt+Z). Capturing Blender’s screen will not be practical, because I want the image precisely in the same size/perspective as the regular Cycles render. Manually changing all objects into a wireframe using a modifier or something is not practical because I also want to render the scene normally.

Like the video below which is a capture of Blender’s window, but without capturing Blender’s window.

I think you’ll find this feature in the 3D Viewport

View -> Viewport render animation

If you want it to render from your camera you have to get into the camera view first.

Thank you.