Unfortunately, stereotypes have utility. No one likes being caught up as a false positive in a stereotype, but when you look at mass market politics / advertising / marketing they cater to charactures of their intended audience because for the most part it seems to work. Every once in a while someone takes it too far and a group gets offended, but let's not pretend that Cambridge is the only one doing this.
Stereotype is probably the correct word, but it's overloaded here. Stereotyping someone by something that they did not choose is a gateway to prejudice: skin color, eye color, place of birth. Stereotyping someone by something that they did choose may be very useful for making inference about them, because it is a revealed preference: clothing tastes, food preferences, etc.
Maybe that grizzly bear is nice but I'm not going to try and pet it to find out because the stereotype is that it will rip me to shreds