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Sorry that I don't have better answers for you at this point on how to use the lighting that they are advocating. Maybe a switch over to the lighting forum to ask for some guidance from the folks over there.
You could probably do a Search in the Lighting forum and find others who have already posted on their methods. I know I've seen them posted plenty of times ... and I've done some cursory reviews of them, but I haven't dug into the subject thoroughly.
What I would suggest is to get a good color checker and then you can get a better understanding of the color in play from these lights. Not quite time to throw the baby out with the bathwater ... but time to get a better thermometer to judge the temperature by.
Even with only a gray card, it would be interesting to run some test shots from each of the bulbs, and from varying distances, multiple lights grouped, etc. For instance, I know I've got my AB400 is a bit warm when I dial it back. I'm not going to get rid of my AB400 just yet, but I do need to be aware of how I use it that I either need to NOT dial it back, or I need to not mix it with other lights, or I need to dial it back where the added warmth will be tolerable. Same goes with when I use a globe modifier, it changes things a bit.
I'm not saying that the flourescent route isn't viable ... but I think that there have been some assumptions made regarding the color spectrum in play with them that will need to be understood before they can be resolved.
I could be making a "mountain out of a molehill" in some perspectives ... but when you are talking portraits, there is much more latitude than headshots, imo. That being said, I'd revisit the guys who are advocating the use of florescent lighting ... being mindful/watchful for some clues as to their methods/results vs. yours.
I hope this helps, not meaning to create a hornet's nest or bum you out ... just trying to point out something that might cause you some issues as you embark on this journey. Sorry I don't have a better answer. If I were closer to OK, I'd be glad to lend a hand ... I've been a little curious at fluorescent usage myself, but haven't bought into it just yet for various reasons.