I doubt that the strength of the stobes will make any difference. The critical elements are (1) the distance of the background from the subject and (2) the depth (not amount) of light on the subject. Ironically, I learned all this back in the days when I used hot lights. Then, I had to put the lights right on top of the subjects to get acceptable shutter speeds at ISO400, and I found that most of the backgrounds would go very dark regardless of the color. Unless you are using black velvet, the background should be far away from the subject (at least 12-15 feet back) and the lights need to be very close to the subject to minimize the depth of the light. Also, use flags to try to stop any light from hitting the background.
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