I was thinking about this whole issue, and then I realized that there can be a valid place for stereotyping. When the facts of someone's personality are lacking, stereotyping is commonly used to fill the information gap.
For a non-typology example, in recent years there was a discussion somewhere about how Jesus must have really looked. There is no description in the Bible and utterly no other information exists on this. So the "facts" were put together on the basis of Jewish facial stereotypes. Here is the result:
Yet I never heard of anybody crying about the obvious stereotyping going into this picture.