I read the article, as an advocate of Intermittent Fasting for the past 4 months or so.
It makes sense, and basically states that the inclusion of BCAA's post and pre-workout are beneficial to preventing the catabolic state that your body can go into during intense workouts without the immediate nutrition we are all so accustomed to.
would the inclusion of two egg whites pre-workout improve my workout?
It depends, are you already supplementing with BCAA's? If not, then it's possible it will give you a slight boost in energy levels. If you are supplementing with BCAA's already and are looking for a switch, well - according to the article it's a positive one as the small amount of protein will boost your circulating insulin levels, keeping you out of any sort of catabolism, but not spiking your insulin to the point that you break your fast.
I mean I guess this is the controversial part. I don't believe that your body will go catabolic in hours. So with that in mind, I find myself asking how or why your workout would improve. According to Dr. Loren Lockman, your body will go after adipose tissue first. Which is long term fat storage, or the fat on your body. If this is the ultimate goal of your workout, then I think you would be best with BCAA's, although based on the findings, BCAA's and Egg whites are going to both give idealistic benefits.
I would also point out that BCAA's are derived and produced with the intention of using during intense workouts to fuel your muscles. Egg whites are natural and not produced by anyone, so for a more natural approach I would say the Egg whites are your best bet. The BCAA's may work faster, as also mentioned in some of the comments in the article, the egg may take hours to activate protein synthesis, and it's more of a continuous process than BCAAs which enter your blood stream within a half hour.
We're all in this for the long run. I think your choice to use intermittent fasting as a tool for weight loss and lean muscle gain is a good one. In reality, I think the change is minimal, and probably won't make too much of a difference.
You don't have to worry about breaking your fast early, because as long as your training is intense, you will deplete glycogen anyway, and your body will raise HGH post-workout. Just don't eat any more egg whites then. BCAA's are OK though.
Might of rambled a bit, I apologize. This is all from personal experience, and research. I've been interested in the same types of things. Bulletproof coffee would be your best bet as a morning pre-workout/fuel