I own a braille display and use the 93-volume trigonometry textbook from high school and the logic around it with respect to making sure the right chapter was in the classroom with me as an analogy when explaining CPU caches to people. In the long run I discovered that incredibly fast speech rates scale better than braille for most tasks outside educational settings, but if it works for you, by all means use it. And before someone inevitably makes the "but braille is important for literacy and brain development" point: it is, and I advocate learning it.
However, putting the burden on site developers to support text-based browsers for this use case is O(sites) but putting it on the screen reader developers is O(1). In other words only the latter scales. Braille isn't a very good argument for site authors supporting text-based browsers from any practical perspective, and in all honesty I think most of them would find this off-putting. It's already hard enough to get people to do accessibility; if we make the bar as high as that and go around claiming that it's necessary for accessibility, no one will ever bother.
However, putting the burden on site developers to support text-based browsers for this use case is O(sites) but putting it on the screen reader developers is O(1). In other words only the latter scales. Braille isn't a very good argument for site authors supporting text-based browsers from any practical perspective, and in all honesty I think most of them would find this off-putting. It's already hard enough to get people to do accessibility; if we make the bar as high as that and go around claiming that it's necessary for accessibility, no one will ever bother.