stating that ballroom Salsa is actually Mambo.
You need to dilineate.. Music and Dance.
The core elements in dance ,are foundational figures that, are common to pretty much all styles of the genre.
A famous musician once said.. " All salsa is mambo. but.. not all mambo is salsa " .
The many styles of the rhythms that go to make up the dance we choose to name, be it Salsa or Mambo, have hybrids that branch out from the basic concept ( And.. I dont mean Cuban Rumba )..; for e.g. the standard forms that are in common use, musically speaking... Guaguanco, Montuno, Guajira, Guaracha, are all intrinsically linked, and are musical forms to which we dance .
Some are fast, and some are slower, and thats the beauty of the genre, it gives ever changing choice to adapt, add, takeaway, specific changes in the variety we choose.
Most "dancers " never go much beyond the basic concept ( thats the majority ) and, ironically, thats how most latinos dance, simple, with sabor .
Does it really matter if you dont know the differences ? probably not.. its more important to enjoy the music, whatever it is you are dancing/listening to ,and dance with the freedom that is the very purpose of the music .
So is the BR style of salsa different ?.. stylistically, yes.. do they use the same variations ? by and large , Yes, but ya know the old saying " A rose " etc .
If you want a more academic approach to the genre, may I suggest you go to salsa forums , were there is a never ending source of the best information you will find anywhere, by experts in many fields of the genre .
A footnote.. the name " Salsa " is/was a marketing tool, devised to improve sales that had lagged in the late 60s early 70s, which was also largely influenced by a paradigm shift in the music.. its called " evolution" .