When an individual completely dominates their competitors.

Collecting names of the people whose asses are going to be kicked by the collector. This simply means that somebody is ready to fight a bunch of dudes.

Taking names - yes, total domination, all that. But its origins are old school: when a military unit wipes out an opposing military unit so completely that they cease to exist as a unit, that unit's name is taken. Once upon a time, their colors - their flag - was taken. Think about an MC being stripped of their cuts.