Hmmmmmmm!
Interesting.
My understanding is AM originally developed American style rumba as a simplified multipurpose dance that could be danced to several styles of music and not just rumba. (I'm not that aware of all the intricacies of American Style though).
The competitions you see on television are more likely "International Style" rumba danced strictly to rumba music(although you can always find other forms to fit. My wife and I sometimes practice Slow Foxtrot to Rumba, etc.).
I suspect your new teacher is teaching you International Style. However, from what you write I'm not quite sure.
AM developed American Rumba because International Style is a syncopated dance with a hip settling on the strong "one" beat but the foot action delayed to "two". Most beginners have difficulty finding and stepping on the second beat. American Rumba steps on the strong "one" beat and is easier for most beginners.
International Style has a "quick, quick, slow" type action but not until the 2nd beat. When we teach our beginners we prefer to count it as "hip, 2, 3, 4, hip, 2, 3, 4, etc."
2, 3 would be quicks while I suppose you might call the "4, hip" as a slow.
So if your teacher is teaching you to settle the hip before the "quick, quick, slow" then I guess your learning International. However, if you're starting the first quick one "one" then I'm not sure what your learning.
OB