There's a lot of weirdly introduced characters in the 2nd film especially that leave you thinking "wtf was that there for?" but were actually the continuation / conclusion / intersection of storylines started in one of the animatrix shorts (e.g. the kid) or the game (the other crew).
That said, they did make sure the films had enough injected explanation that movie-going audiences weren't totally lost, but unless you watched it the way the Wachowskis intended, it would come off as disoriented and exposition-heavy, nowhere near the quality of the first film.
Not that they are masterpieces on the level of Shakespeare. But having gone back and watched the first film, then Animatrix and played Enter the Matrix, before re-watching the final films as a two-parter, it does make sense as a consistent, coherent story with a beginning, middle, and end, and even quality throughout.