Heck, no. The TRPG2 Hero is gender-indeterminate. That's pure canon, not just an artificial choice in the beginning of the game; the fact that their gender isn't defined is Word of God. Plus, there's this quote from the Wiki, presumably sourced from the epilogue:
After the Shadow War, David will become a Black Cape at the head of his class in record time. He will be considered as having the most advanced Scanning abilities of any Psy alive.
Who else is going to be running such strong obfuscation and misdirection for the Resistance? That's advanced Psy technique; while the Hero was big on raw power, David sounds like he was more capable when it comes to the delicate things. I wouldn't put too much faith in "veteran of the Shadow War" -- that could just easily be a bit of exaggeration or miscommunication. After all, isn't it Baz who describes him as such? Baz could have heard him say that he was with the Psy Academy when the Shadow War was going down and just inferred his participation, for instance.
Plus, it makes more sense for the Nameless One to be detached from elemental affinities, since he's equally capable of training Duvalier in all four elemental schools. If it were the TRPG1+2 Hero, you'd think he'd have some sort of bias towards Heat training (being one of the world's most talented pyrokineticists), but nothing like that gets mentioned.