Correcting other people’s error is a very delicate matter and requires a great deal of maturity and experience to handle. It is just like handling uranium, you don’t leave it to everyday people to handle, not even to those who know how dangerous the substance can be. In such a delicate matter, it is best to leave it to those who are better trained, experienced and more importantly, better equipped to handle such hazardous materials.
Handling other people’s error is no different. You must know the ethics involved and the decorum required.