they can't hurt you IF YOU CHOOSE to not let the words hurt you
True. But that's easier said than done and many people who know the rhyme still are hurt by name calling and criticism, even if they have "chosen" not to be.
The issue there is privacy, you shouldn't be putting personally identifiable info online
You don't need to put any personal information online to be subject to abuse. If you post anything anywhere where people are allowed to comment on it, you can be subject to negative comments. You've posted anonymously. I could still have been offended by your comment and gone off on a rant and started calling you names. If you checked back to see if anybody had replied to your comment you would see that. If you are completely immune to such attacks, that's great. I suspect that quite a few people are not.
I also avoid putting personally identifiable info online because of concerns like what potential future employers might think of my personal views.