Shadeless Backdrop Image (Cycles)

I’m currently working on an interior scene and I want to add an image as a backdrop, visible through a window. I want it to be shadeless so that it’s not affected by any lights…

I tried using the method from the interior-scene-tutorial on blendercookie, which basically means adding a plane with an image texture on it, then adding a light-path node and using its “is camera ray-value” to make it shadeless.

This works well for the window part, but the problem is that i have a mirror in the wall, in which parts of the window are reflected. The Backdrop-reflection doesn’t show up in the render, it seems like the glossy shader ignores any materials without light… Or am I missing something?

Any tips or suggestions appreciated!