Though the argument is technically correct, it is unnecessary at this point of time. Same as renaming cities and countries to "correct" history.

Disagree. This is not so much about epistemological correctness as it is about what's useful and convenient. math.tau is an easier and more intuitive constant to work with.

Math didactics is all about making math more digestible for the next generation, even if it breaks with history.

For now, I’ve just explicitly written exp(2πiν) etc instead of exp(iπν) in my work; explicitly writing out 2π and treating it as effectively one symbol does have similar conceptual benefits as working with τ.