They don't outright say it, but Vergil is more accepting of his human side this time around after becoming whole again. You can tell by the way he looks at Dante and Nero after being restored; he's not angry or filled with a desire for power like he used to be, and he looks away as if the whole business has been somewhat shameful. He has much less interest in fighting Dante for the sake of it, and if you take the Vergil-Nero battle comments as part of the narrative then he actually wants Nero to give up fighting him as there's no real point to it in his eyes. (Or maybe he doesn't want to give his new-found child a beat-down, assuming Nero would be weaker than him). Vergil isn't rejecting his human aspects here, he's allowing them in for once.
But he's still Vergil with Vergil's personality, so he still finds it necessary to prove superiority over Dante in a fair fight, or to get irritated with Dante's glibness, or to pretend he doesn't remember saying "jackpot", or to try getting a higher score knocking out demons at the end.