Yes, they do that too, at least here in Italy. There are 2 famous Italian dancers, Piero Mingarelli and Daria Mingarelli, who had spent they childhood in Puerto Rico, and they claim they brought the pure puertorican style in Italy. Their timing is exactly what you described, basically an "inverted" NY ET. (In Italy they call it "Mingarelli timing"). Pietro Mingarelli claims he invented that timing.
Other than the timing, their overall style is what here is consider to be "puertorican salsa".
Here's a video of them dancing
So to summerize, in Italy there are people who say they dance Puertorican salsa, and they dance on1 (that's considered the "easy" version), other dance Power2 timing (that's considered "Classic Puertorican"), and other dance the aforementioned "Mingarelli Style" (they say they dance Puertorican salsa, but they acknowledge they are using a peculiar timing).
But, despite the timing, they all use the same styling while dancing.
Yeah, the situation is a mess around here.