basically correct, consistent with my own search. except that many references mentioned R6S was based on 2004 R6 model.
actually it's easy to differentiate by year of manufacture, for the same year, the looks of R6 and R6S were difference (design, profile etc. coz new stylo look from 2006 onwards where R6S remained as 2004)
another issue, many ppl mentioned that the riding posture on recent R6 is quite "aggressive" since its tuned for higher RMP power and track-oriented.
whereas the R6S is street-oriented and more comfortable for daily commuting and mid range cruising. it also has better power at low to mid range RPM.