Is colorring each document and word as monochromatic as possible the goal of LDA in specific or all topic models in general?

Question

In the video Training Latent Dirichlet Allocation: Gibbs Sampling, the Goal section at 7:32, the video says that:

Goal: Color each word with blue, green, red

1. Each article is as monochromatic as possible
2. Each word is as monochromatic as possible

I wonder if this is correct for LDA only, or for all topic models in general?