Hi
Coming to this thread late as someone who perhaps spans both the Japanese and Brazilian styles...
I tend to agree that the word jiu jitsu is becoming a short hand for BJJ
Even in Japan the word jujutsu doesn't really equate to a particular style. Technically it's a subsystem found within many smaller, localised old styles. As people have pointed out these old styles (koryu) tend to be focused on preserving the cultural traditions and are not particularly popular especially with the younger generations. Worth noting that a fair amount of (broken) judoka do migrate over to koryu to keep training as they get older
Unfortunately in the west the majority of Japanese Jujutsu schools are a hash of judo, karate and aikido which, in my view, is a shame as they miss the critical point of how the elements were originally integrated. The quality of these styles is generally pretty poor and realistically they will never compete with BJJ for the Jiu Jitsu moniker
I agree with
@Tony Dismukes that BJJ risks evolving in a direction that makes it less and less applicable for self defence over time. Many academies incorporate other classes (striking, MMA etc) to provide a more holistic service for members, but many don't &/or people at these academies can just attend the BJJ sport classes
Many BJJ academies do teach the old self defence curriculum as part of the core BJJ classes. This is basically the same as the judo one (maybe a smaller number of techniques?). However, I never felt that this went far enough and, in my view, there are quite a few gaps in the execution of many of these techniques
On the other hand there are a lot of valid self defence techniques and principles to be found in the old Japanese styles. I feel that these compliment BJJ excellently, largely due to their shared history and philosophy and because they focus on the stand up self defence which is clearly not a focus for BJJ
The issue is sifting through the 1,000s of techniques to find the ones that are applicable to a modern context and then to test and refine them under pressure. Not many people are doing this, but I do feel it would be a very valuable exercise
Hope this makes sense
D