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Not sure @ B800, but my B400 has a color shift that goes warmer at reduced power ... assuming the B800 may likewise do the same. You might want to run some test shots to see how much warmer they are @ lowered power settings.
You can also adjust your camera's WB setting so that it intentionally does NOT match your lighting. In that regard, you can dial in your "creative warmth" (or cool) to your taste.
As mentioned by others ... the warm glow that you are "seeing" is likely either a gel (inside the box that you couldn't see), or the modeling light. BTW, if the modeling light was set to "track" the power of the strobe at a reduced setting, it may also be incurring an additional warmer color shift.
Without knowing if it was a gel, reduced power color shift or the modeling light ... it's hard to know how much of what you were "seeing" (warm color) while modeling, is what was contributing to the shot. Without knowing these, and not knowing what color temp the camera was set for, we really can't tell which attribute was the reason for the shots coming out to your liking, as these things all work in concert with each other.
But, that being said ... I'd have no concerns @ your lights being 5500K (or 5600, etc.) as this is pretty standard "daylight" balance. Your desire for a departure from "the norm" toward a warmer tone is a creative choice and there are multiple ways you can get there ... i.e. mismatched light/camera WB temp, gel, PP, gold reflectors, colored lens filters, etc. Which approach(es) you choose may vary from how others approach it.
Personally, I'd start by making some test shots with your camera at different WB temps (i.e. 4500K, 5000K, 5500K, 6000K, 6500K) and see how they "tone" your shots relative to your 5500K lighting. When you find one to your liking, then you'll know that you can set your camera to that temp when you want that effect.