Actually -- rhythmically speaking-- there is a difference in the truer musical interpretation of latin by commencing back . .
the objective of its " form " is the " call and response " dictated by clave rhythm .
The man should commence with a backward motion, signalling to the lady-- respond .
Bolero, Mambo etc. all commence in this direction. it follows the musical intonation of the 1st bar of the octave.
For reasons best known to him ( Pierre ) it was changed to its current form in the Intern .style .
(Have thoughts on why )
If you read the history of the genre, it makes it abundantly clear, why the format takes its place in the form that it does .
Your " Latin " is based on Yambu, Danzon, and several other indigenous forms of dance .
Santeria( the religion ) also plays a large role .