The folks in the Sportster forum might be better to answer this.
But the 2002 had 4 Sporty models. An 883, 883R, 883 Custom, and 883 Hugger. There were several types of reds. Each came in a type of red. But the 883R only came in Racing Orange.
A buddy has a 2004 1200R. I think HD introduced the 1200R version that year and with the Racing Orange being pretty popular on the 883, HD decided to include that color option on the 1200.