Nope. There's even pictures of the empty elevator car with the words reversed from CMs. The effect had our car looking through a two way mirror to a duplicate car. When the lights are on us, the mirror reflects our image. When the projection is shot onto the mirror and lights go down on us, the ghost imagery appears. Lastly, the lights shift a third time to light the empty car behind the mirror so it appears as if we are looking at the reflected image of our now empty car.
And the reason they did this wasn't a lack of room, it was that Imagineers always felt the 5th Dimension Room was a failure overall. It was expensive, it slowed down the pace of the first half of the ride, it was prone to error, and it caused some unfortunate pauses in the story. This newer design fixed it so well that when Tokyo Disney Seas had their choice of which Tower design to utilize for their park, they selected the updated design seen in Paris and California.