Refactoring other people's messages into terminology that makes (concise) sense locally.. it's translation, I suppose. Nice to offer back any corrections or improvements to the author where possible so that they can improve their own use of notation.
However, there are many abstract concepts (zero, I, infinity, pi, e) where notation and symbolism can dramatically improve intuition. Similarly, there are notations for different groups, or simply types number systems, N J R C. Hey, why not floats and strings too?
In addition, there are also many functions that we use/define (sin, cosh, B, P Y), which are basis sets for the solution of various differential and partial differential equations.
Failure to use some of these notations makes explaining oneself (even to yourself) almost impossible and using a different notation will frustrate others.