I have never seen a highly detailed description of the Integral brakes. So no reference to an article.
However, we may ask, how is it possible for the rear brake to be applied more often than the front brake even if we only use the front brake lever and never touch the footbrake lever?
In a conventional system this would be impossible.
However, this system is far from conventional.
The number of brake aplications presented to the rider is not counting the number of times we touch the brake lever. It counts the number of times brake pressure is being applied to the front and rear brake respectivly.
But we use the front brake lever only, so how can it be that using the front brake lever only results in usages of the rear wheel brake only if we apply a light brake pressure to the lever?
This is technically possible since the light pressure is sensed by the ABS module. The ABS module will then delay or even omit the brake pressure being applied to the front wheel by bypassing the frontwheel brake pressure being applied to the calipper. The rider will not notice this, as the system does this in a way that the rider will not be able to tell the difference. The days of feedback from ABS is sensed through the brake lever are long gone.
So the integral brake is not a mind reader. If the rear brake receives brake pressure before the front brake, this is because the rear brake pressure is applied at almost the very moment the front brake lever is used. The frontbrake calipper however gets it's pressure delayed by the system bypassing the lever pressure as requred.