I know this was directed at someone else, but I just want to put out there that there's totally a time and place for the stereotypical antagonist. Some writers avoid stereotypes as much as possible. And that's a pretty good rule to live by, especially if you're unsure of yourself. Or if you don't appreciate them to begin with. If you bristle at the snobby waiter trope at a high class restaurant no matter how well it's done, you should probably avoid it in your own writing.
However, If stereotypes and 2 dimensional characters are tools you want to learn how and when to use effectively, the learning process does tend to take the trial and error route. Personally, I avoid combining them and I avoid 2 dimensional chars more than I do stereotypes. If your main antagonist embodies a number of stereotypes but is multi faceted and you love him and what he brings to your story, that is a valid character.
I might be repeating myself with all this, but I love stereotypes. They're so fun to play with.