The extra 40mm blacked out on the screen would certainly cover it from the outside.
The inside would still need something though to finish off the look. My birdcage doesn't have those brackets either. Judging by the look of it, the birdcage was replaced with a new one sometime before I got the car, but wasn't painted... Well, actually, only the bits you can see were painted.
I'll have a flick through my Aim.