I've initially seen Schrodinger listed as a catboy as well.....but the whole gender issue seems to go back and forth a lot. I suspect we either have a case of Bridget, where many people universally deny that Bridget is actually a boy, or the other case that no one really has any sort of idea and arbitrarily goes back and forth between.

I'll stick with my own random conjecture.

/confirmed Bridget denier