Of course mentioning race in the context of prejudice adds context, that's why it's a more interesting analogy. That context might allow you to more intuitively

Of course mentioning race in the context of prejudice adds context, that's why it's a more interesting analogy. That context might allow you to more intuitively consider the ramifications of what happens when prejudice goes unchecked. Saying something is akin to something else IS a metaphor. Analogy, simile, whatever. It's a kind of metaphor. You've again described an analogy as an equivalence, which it just isn't. If it's not an equivalence, it can't be a false equivalence. I think we can handle analogies. Also, as far as I can tell without a paywall (!?), neither definition you linked to mentions beliefs or feelings so I'm not sure how you're getting that. I don't disagree that stereotypes can cause prejudice, I just don't follow the distinction you're trying to draw between beliefs and feelings or how it makes a difference here. The problem OP was trying to highlight is people making unjustified assumptions about people based on their pre-conceived notions (which are also indefensibly unmoored from reality).