I still don't see how disrupting the ability of individuals to communicate with each other does anything to undermine anonymity and privacy.
With that out of the way, they're targeting the former in-order to make it impossible for people to come together and organise privately and anonymously around subversive ideas.
The specifics of targeting IRC are probably tied to the efficiency of the protocol which allows very cheap hardware and minimal bandwidth to the extent that non-complying private foreigners may provide a free forum the government can't control.