R in RSP stands for Rafał. Oh, you didn't mean my initials?
Seriously though, no information I've found gives any other name for the R then just Register. There are new registers like R8, R9 (which are traditional names for many other especially RISC architectures) and since R-prefixed registers were already added (like R8, R9) then it made sense to prefix other registers added at the same time with R as well. Also, those are the "normal" registers for that architecture so R makes sense.
But you're right, there doesn't seem to be any hard proof of that name, it's more like a legend, just like "iframe" supposedly meaning "Isaacs Frame" after the name of its creator.