I don't think this is an optimal or especially good way of dealing with bullies unless the bullying is so serious that it is a threat to the child's safety. It encourages a habit of appealing to the authorities whenever things are suboptimal, instead of developing interpersonal skills to deal with the problem without an authority. It teaches the child to depend on authorities to save them when things aren't going his/her way.

Blackmailing authorities by a smart plot that involves having a evidence that you can take to the media isn't "being dependent on the authorities".

It's the HPMOR way ;)