"The same texture applied to both the walls and the bottom seems to make it look flatter."
I thinks the proble is that:

1. Walls are not vertical on original, they have diffrent angles and have organic feel. Your walls are perfectly veritcal... That do not allow to KeyShot make that deep you need. Here, there are two solutions, first is to get your model to sculpting software and produce all that kind of deffects and imperfectness and all other laser artifacts or make it with normal/bump for example in 3D Coat you can draw it with normal maps in minutes.

2. Vertical walls and bottom have diffrent materials on original. Bottom is black rough but walls are metal rough and the top is "polished". That rough , can be achived partly in first suggestion.

3. Also to accent depth it will be good to set appropriate light that will create good tones and semitones to emphasize depth.