Not the mathematics, I am solid there. I actually already understood the mathematics of your resistance ratio, but it was nice to see your summary. Maybe it shows to some others that you have thought deeply about it. I already presumed that you did.
My doubts were about this: "This shows without NO DOUBT that Rui got the best training method from the point of view of the AEROBIC CONDITION from all the three. ..." This time I added some emphasis so you can see more directly why I used the word doubt.
The thing I am not sure about is whether maybe some OTHER QUALITY is better trained in the modern methodology. Like running economy.
* Although Lydiard athletes did do weight training, Lydiard himself was not too keen on it. Weight training gives big benefits to running economy. From what I have read, supplementary exercises are always done in modern training.
* Also faster running is very good for improving running economy. Lydiard knew that and advised "speed development" work year round. Maybe the modern training has more of this type of work early, and so does even better.
* From my own experience, running economy is VERY IMPORTANT for the marathon, and when I *die* at the end of the marathon, it is because my hip flexors can no longer lift my knees. If I ran more economically, perhaps with a shorter lever, then my hip flexors would last longer at the same speed.
So this last point is why I raised the question of specificity of running economy. If for various race distances the running economy is different, and its percentage contribution to overall time is different, that would throw off your calculation about the aerobic contribution.
Thank you, that answers the question.
Aside to all the other posters here:
Some of the heat Antonio is taking is not deserved. In my opinion people are quick to suggest he does not understand this-and-that, and are slow in making much effort to understand HIM.