I was talking about a S/N ratio, not an amplification factor.
RIAA, when it relates to phono is a standard equalization. In the old days (prior to 1960 or so) each record label had its own equalization and preamps had a selector to choose the appropriate one for the record. Finally, the RIAA got them all together with a standard equalization that has been used ever since. Every phono preamp includes RIAA equalization. If it didn't, it wouldn't be a phono preamp.
Also note that I said most moving coils requre more amplification. There are some high output moving coils that do well with moving magnet preamps.