Your understanding is the correct understanding Alice! But I think you're assuming most people understand it as you do, and that's not correct. Most people have

Your understanding is the correct understanding Alice! But I think you're assuming most people understand it as you do, and that's not correct. Most people haven't learned to think with probabilities or distributions, and I would just downgrade that to "many" even here. I think many of the people commenting and reading here actually believe that one could e.g. teach calculus to everyone, it's just a failing in our efforts.