If I navigate to - https://en.wikipedia.org/wiki/Genealogy_of_the_Rothschild_fa... - every section of the page mentions the family being involved in banking. Am I stereotyping members of the Rothschild bloodline by saying they're involved in international banking? I don't think so.
I'm equally gobsmacked by people who claim we shouldn't utilize pattern recognition or who want to pretend stereotypes materialize out of thin air.