No, he wouldn’t
Folks, we have another Potter head in the crowd! This photo was taken at an LGBT rights protest, but the sign applies to almost every social issues people complain about these days – Dumbledore wouldn’t let things at Hogwarts look like our society does, with social media contaminating our language and opinion.
No, Dumbledore wouldn’t let it happen, but he wouldn’t let anything bad happen in Hogwarts, because he’s the best, most kind-hearted character Hollywood has ever seen! Try to argue with that.