I guess if you have lesser skilled players that cannot think on their own with regards to fearful, then I could see it being a problem having to co-ordinate a swap in the middle of a raid with the dps. Fortunately, we don't have that issue and things run smoothly throughout, even taking 7 trials on a run.
Actually, even with our strategy, you still have to be careful about fearful if you have halfway-decent DPS (since they will swap more frequently than once every 60 seconds). I'm glad your strategy works for you, it just sounds very chaotic to me. I've sat in on groups that attempted the boss this way. After about an hour of wiping, they switched to the strategy I outlined and downed the boss first try. Different strategies work better for different groups, I guess.