I disagree.
In M3, when Neo fought Smith, you could see that he was not fighting at his peak ability; after all, he was clearly grieving over Trinity's death. I think that he needs Trinity to go on fighting, and that he's lost without her.
Well, I mean "without her" in the sense of her being dead; if you meant in the sense of her being somewhere else {ie not fighting with him side by side}, then I misunderstood.