The strobe with the beauty dish (red) is much closer to the model, the light is softer (larger size of the light source, plus diffuser and it is closer to the subject) and its mission is to only fill the shadow behind the model with rich red color.
1. Cyan; 2. Softbox 1/2 CTO. I really love this color, it gives a dark and cold mood that is really nice . The mix with the CTO is perfect to me. For this image I installed a Stripbox at 45° with the cyan, and a square softbox with a 1/2 CTO filter.