The RL identities of most bullies are already known to those being bullied, yet the bullying persists.
Suspecting you know who is doing something and being able to prove it to a sufficient standard to secure some action against them are two very different things.
Some children growing up today face an entirely different scale of abuse from their peers to what anyone of my generation had to put up with, and the major difference is how much of that abuse can now be done widely and yet anonymously because of modern technologies.
I find my views on this issue unsettled, because on the one hand true anonymity effectively puts someone above the law and the GIFT applies, yet on the other the supposedly lawful authorities who should be able to act appropriately against people who break the rules for the protection of everyone else have now proven beyond any doubt that they cannot be trusted to act appropriately at all and that their political masters(?) will cover for them as much as necessary to allow this to continue.
I am coming round to the view that the ideal compromise is that no-one is truly anonymous on-line but that an identity can only be revealed to lawful authorities at some sort of significant cost to those authorities and under strictly defined rules with extensive checks, balances and transparency arrangements, with draconian penalties for anyone in public office who abuses a position of trust. But of course that is not a million miles away from the spirit of the law in many places today, it's just that the checks and balances obviously aren't effective and the odds of anyone in authority actually suffering serious consequences for such abuses in our current political climate are relatively low, so the problem remains.