I'm watching hagler vs minter right now great display of haglers all around skills. Picks him apart and only turns it into a brawl when he smells blood.
Yeah getting specific to tailor the title to the individual, that's when the secondary names come in. I'd call James Toney an "in-the-pocket counter-puncher", emphasizing how comfortable he was on the inside. Marquez would be an "aggressive/combination counter-puncher", Mayweather would be a "defensive counter puncher". Yet they're all counter-punchers.