In this post from a thread from nearly 5 years ago, Dr. Simon Mitchell posts a link to research indicating that nitrox may well be less narcotic than air, and he says he agrees with that research. Here is the research:
If true, the benefit is not great.
Objective vs. Subjective Evaluation of Cognitive Performance During 0.4-MPa Dives Breathing Air or Nitrox - PubMed
The results suggest that EANx could protect against decreased neuro-cognitive performance induced by inert gas narcosis. It was not possible for blinded divers to identify which gas they were breathing and differences in postdive fatigue between air and EANx diving deserve further...
pubmed.ncbi.nlm.nih.gov
If true, the benefit is not great.