do good stereotypes always have to send out good messages towards those good people?
No. Any stereotype is likely to injure people.
For instance, think of Asian students in Canada or the U.S. The stereotype is one of a very bright, mathematically gifted nerd. But obviously some Asians are of average intelligence and don't like math.
stereotype: an over-simplified image
So what is a "good" over-simplified image?
It boils down to your value system: good vs bad. What one values as good another values or knows differently.
Think about Beaver Cleaver's mom June
http://en.wikipedia.org/wiki/Theodore_Cleaver
was the over-simplified role of a housewife and mom a good message? Ever hear of the glass ceiling?
So the answer is your opinion of "good".
I am reminded of the Holy Crusades, and the knights who went on them? I am not so certain the messages they left are considered good by all.
When examining stereotypes, it is important to distinguish between positive stereotypes and positive messages. Positive stereotypes are generalizations or assumptions about a certain group that can be seen as complimentary, such as assuming that all Asians are good at math. However, even though it may be viewed as a positive stereotype, it is still based on assumptions and can perpetuate bias and unfair expectations.
Positive messages, on the other hand, convey positive qualities or characteristics about individuals without making assumptions based on their group affiliation. These messages focus on the unique achievements and qualities of an individual rather than generalizing based on stereotypes.
So, to answer your question, positive stereotypes do not necessarily always send out positive messages towards individuals, as they can still contribute to oversimplifying and categorizing people based on their group affiliation. It is important to be aware of these stereotypes and strive to approach each person as an individual, free from presuppositions and biases.