The setup; Win7, an ATI HD 7xxxx GPU, 16 gigs of RAM, and an i7.
To reproduce; open the .blend file, press P and notice that the camera texture simulating a reflection works properly, press R to restart the scene though and the camera texture fails to reinitialize and instead show the base texture that it was supposed to overwrite.
Bug since; always, the video texture module, as far as I know, has always been unable to handle scene restarts. It gets even worse though, in some scenes, Blender will actually crash if you restart a scene using video textures. The videoTexture module as a result is practically useless, trying to work around it by replacing the scene restart with setting the scene to the same one does not work either, implying that you really can't use it in a game because it will fail when the scene changes. (only useful for pretty graphics demos to fly around in at the moment).
If a dev. here can look at this and fix this issue, then that would be great.