This is only true if you consider information that can be used to pirate works as "infringing material" that falls under the DMCA (in particular its safe harbou

This is only true if you consider information that can be used to pirate works as "infringing material" that falls under the DMCA (in particular its safe harbour provision). Which would effectively give any copyright holder carte blanche to censor any information that can be used to infringe their copyright.