I'm from the stills world where photographers love to light the subject with tungsten but use daylight instruments for the background and set the camera white balance to tungsten.
The result is that the background and some of the shadows go a lonesome shade of blue while your subject, lit with the Arris, will be is rendered naturally. It's a beautiful effect with still cameras, but I would definitely test to see how the color science would work with a Red. You can vary the effect by adding 1/8 or 1/4 CTB to the tungsten lights to narrow the difference between the two sources.
Obviously, the main issue is that it would be a pain to grade out if the client decided he or she didn't like the look.