BJJ vs GJJ - modern vs classical
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Gracie Jiu-Jitsu (GJJ): Held onto the Gracie name to emphasize lineage and a philosophy centered on self-defense first.”
BJJ vs GJJ: One Art, Two Paths – Choosing the Right Jiu-Jitsu for You
The idea presented in the linked article is not really accurate. Rather, it's regurgitation of marketing copy from one particular branch of the Gracie family.
A quick summary of the history behind the terms GJJ vs BJJ is roughly as follows:
Originally the art now known as BJJ was simply known in Brazil as "Jiu-jitsu" or "Gracie Jiu-jitsu" (since most lines of BJJ come from the Gracie family, excepting only the Luiz França/Oswaldo Fadda lineage).
When Rorion Gracie came to the U.S. with his father and brothers, he trademarked the name "Gracie Jiujitsu" and threatened legal action against other members of the family who used that name. For that reason, the rest of the community ended up adopting the generic name "Brazilian Jiu-jitsu" for the art as a whole, and more specific name branding (like "Renzo Gracie Jiujitsu") for individual schools.
Eventually Rorion's trademark was invalidated in a lawsuit where Carley Gracie proved that he had been using the "Gracie Jiujitsu" name in the U.S. for years before Rorion arrived. However, by this time the community as a whole had pretty much settled on "BJJ" and so "GJJ" continued to be mostly used by first Rorion and then his sons Rener and Ryron and instructors associated with their association.
BJJ traditionally consisted of 3 interrelated components - pure grappling, "self-defense" (i.e. techniques designed for use against typical untrained attackers), and Vale Tudo (what eventually became MMA, tactics designed for use in fights against trained fighters and martial artists). With the worldwide growth of BJJ, the pure sportive grappling aspect became the most popular and many schools have specialized in that aspect at the expense of the other two. New techniques and tactics proliferated, many of which are not directly applicable to a real fight with strikes included. However it should be noted that the sport grappling aspect has
always (since the very beginning) included techniques which are not directly applicable to a real fight with strikes included and also that some of the new innovations
can be applicable to a real fight with strikes included.
Helio, Rorion, and Rener Gracie have always been masters of marketing. As BJJ spread, their particular branch of the family was no longer dominant either in sport grappling or MMA. So they pivoted their sales pitch. In their telling, Gracie Jiujitsu (by which they meant their academy (Gracie Academy) and their associates - a small branch of a large family - was the true preservation of the original art created by Helio Gracie. Both modern sport BJJ and modern MMA had moved away from the realities of fighting and GJJ stuck with the original combative application.
All of this is at best exaggeration and spin worthy of a used car salesman. Helio Gracie did not create GJJ or BJJ. He was one of a number of important early innovators and instructors, but he absolutely was not the sole creator of the system. Every other branch of the art has a lineage just as valid as the Gracie Academy. Other academies that don't use the GJJ moniker do teach the full combative application of the art. And for that matter, the Gracie Academy does teach the pure sportive aspects of the art.
What is true is this - schools using the GJJ name do typically cover at least the fundamentals of combative application before delving into pure sportive applications and many other schools either start with sportive application or even teach exclusively sport application at the expense of combative use. But that's just a generalization. For example, my gym uses the BJJ name and my rank comes through the Carlson Gracie lineage, but I teach combative application from day one and I prioritize that over pure sport application.