That is the reverse of this subject in botany, we have this method that we know works and is logical lets make our language more logical. The problem with that is the same reason we don't use imaginary numbers everywhere we can use them. Veritasium has a video description [1] with links to references about the history of imaginary numbers and polynomials. There are some great writing on this and understanding not the history but the problems that gave rise to imaginary numbers, this connection to taxonomy makes me want to read them again.

There must be a study of this; failed attempts of taxonomy.

[1] https://www.youtube.com/watch?v=cUzklzVXJwo