Of course this is undoubtedly true. However, deleting the information creates a Streisand effect and a much stronger belief perseverance and backfire effect compared to annotating the information with a counter-argument.

Between the three options of "delete", "annotate", and "leave untouched", I think the least-bad option is probably the middle one. It's not going to dissuade many people and will only reinforce beliefs for many, but there's not much else that can be done.