Are some master tapes recorded with the RIAA curve?
No, RIAA is an LP equalization not a tape equalization. The RIAA equalization is carried during the cutting - what we usually call vinyl tapes are copies of the mastertapes, mastered to compensate for the physical drawbacks of vinyl cutting and playback.
It is possible to have the three switchable equalizations (NAB, IEC and RIAA ) in one device - see http://vinylsavor.blogspot.com/2014/01/riaa-nab-iec-equalisation.html
It is a pity that the best moving coil phonos do not include such feature - for me it would be much more useful than three types of vinyl equalizations. I considered modifying the Audio Research Phono3, but never had the courage to do it!