I'm pretty sure that's the background of a visitor I had a couple of years ago. She was in town from Germany visiting a company for 6 weeks, and wanted to train, said she was training in Jujitsu (apparently, in Germany there's some standardization). She recognized most of our techniques (not by name), so it was clearly a JJJ foundation. But her groundwork looked very BJJ (by modern terms).The other thing you will get is Japanese but not really Japanese jujitsu that is a sort of judo, jujitsu hybrid thing.
That the real jjj guys will thumb their noses at.
Which is ironic because the not really Japanese stuff can quite often turn out better quality martial artists.