Movie Tony Stark is wittier than any Movie Peter Parker.
In the IM comics, Rhodey is the less serious and more laid back one. When he became Iron Man from #170 onwards, one of the things that fans liked about him was that Iron Man was now a more laid back character who joked around and made wisecracks.
In the movies, Stark has more of the laid back personality and makes wisecracks. Rhodey is very serious and uptight.
For a very faithful comic book Stark, Timothy Dalton would've been very suitable for that more serious take when he was in his prime back in the 80s during the time of Flash Gordon or James Bond: