To me this is a good reminder of our brain's weird ability to take any abstract thing, use it over and over to figure out some common rules, and translate it into a model which uses the good old physical-world concepts we're used to reasoning about.
The consequence is, I don't think there is a 'right' visualization for numbers. You either have an exact model of mathematics in your brain, or you have some approximation thereof, which by definition has to be wrong in some way (but is easier to get / reason about). There is only one true model (if we all agree to use the same axioms, etc), but an infinite amount of approximations, which make them each unique. Fun to think about.
The consequence is, I don't think there is a 'right' visualization for numbers. You either have an exact model of mathematics in your brain, or you have some approximation thereof, which by definition has to be wrong in some way (but is easier to get / reason about). There is only one true model (if we all agree to use the same axioms, etc), but an infinite amount of approximations, which make them each unique. Fun to think about.