The ROS typically discussed in this context would superoxide(s) and to some extend the hydroxyl ion.
Potential (!, this is important, as with many other topics, it will be very hard to arrive at high statistical confidence) pO2 influence on post-dive alertness parameters is discussed in:
Lafère P, Balestra C, Hemelryck W, Donda N, Sakr A, Taher A, Marroni S, Germonpré P. Evaluation of critical flicker fusion frequency and perceived fatigue in divers after air and enriched air nitrox diving. Diving Hyperb Med. 2010 September; 40(3): 114-8.
This paper, and also the one that drives at least a small and potentially not yet lethal nail into the coffin of believe in Nitrox as an objective way to less fatigue under identical profiles:
Harris RJD, Doolette DJ, Wilkinson DC, Williams DJ. Measurement of fatigue following 18 msw dry chamber dives breathing air on enriched air nitrox. Undersea Hyperb Med. 2003; 30(4): 285-91.
have of course already been quoted in this discussion.
Note that the rationale of ROS inhibiting neurotransmission can actually be used in *both* directions: also inhibitory aspects can be inhibited (double negative), thus increasing perceived wakefulness and other things. So, when asking if anyone has ever ascribed "other magical properties" to Nitrox, maybe this is what you were in reality looking for? Maybe a useful analogy may be what alcohol does to different people. You can argue until the sheep come home whether having a drink makes one tired or awake. And the same will potentially go for Nitrox, confounded by the fact that not much of what we are discussing is actually _proven_.
As I said, if you like your Nitrox, why not dive it? If I have to do a late night drive on the Autobahn, I have a habit of buying and eating chocolate containing caffeine. I even know that it will do next to nothing for me but placebo. It still helps.