The game's trophylist has since been revealed, further cementing that no Genma content is featured. That said, the trophies are no joke. Getting an S-rank is pretty heavy (though not X-rank heavy like in Genma), doing a No Upgrade Run is pretty heavy for starting players as well. Disappointed there's no "Sword only run" trophy. Beating the game in Ultimate Mode will have people cry as well, since to unlock it you have to beat Oni Spirits.
Here's the full list: https://psnprofiles.com/trophies/8593-onimusha-warlords