The Rekkr is an interesting one to compare to. It's basically a high-powered headphone amp.If you care about noise, best to look at an Amp's absolute noise level which is typically measured with 20Hz -20kHz BW, in μVrms or μVrms (A-wt).
The RA3 has 16μVrms (A-wt) of noise at the outputs, same as the PA5. That's really low, but not as low as stuff like the LA90(D), Modulus-86, Rekkr or Gjallahorn.