Dear Captain_winters: IMHO as better accuracy you have in each link of your audio system as more faithfull you have on what is in the recording ( everything the same. ), you are nearest to the recording.
From that point of view accuracy on the RIAA is a must to have for not change the tonal balance on the recording. Remember that the RIAA proccess in a phono stage is an inverse RIAA eq. to permit return/come back during playback to flat response that was altered during the recording overall proccess.
Now, the Neuman correction is always welcomed because during the cutting proccess the cutting head normally can't goes over 50khz with out burning so they stop here. During playback with out the Neuman correction the HF goes/follow falling to infinite according to the RIAA curve. So, you can here a difference when you hear a phono stage that comes with the Neuman correction that if we " see " on the whole subject is the way how the recording comes!.
There are some phono stages where you can switch between that Neuman correction and with out it and the owner decide what he like it.
Problem with the Neuman correction implementation is that has some troubles on the frequency domain as on phase shifts and other issues so you have to have the right knowledge level to make the design with out those " problems ".
All in all is a good characteristic for any phono stage. Today more and more manufacturers are implementd it.
Regards and enjoy the music,
R.