To hell with control. Some fighters figure that when something unexpected happens, they can do right by it. They are often very loose, looking to be unpredictable, and fun to watch. They are looking for something dramatic to happen. In any given match, their opponent will often fight more negative than usual and become "the boxer" in order to control this wildness. A prime example of one would be Ricardo Mayorga. Another would be Pipino Cuevas. Even Duran turned boxer-puncher against the brawling Mexican. A high-class example would be Mike Tyson, who, while boxing very tight, looked to increase variance and offset the opponents need for control. Augustus is one that defies most characteristics, as he defied most anything during his career, but he fits. Who's your favorite?
Ruben Olivares in his third bout with Chucho Castillo. He turned boxer and stuck with it, even after being decked by Chucho in the 6th.
I think I understand the premise -- although all boxing opponents, by definition, would be at variane with each other -- and I would offer that no one in my mind ever handled such variance as described by the OP as well as Evander Holyfield. He did not waver at Tyson's biting nor at Fan Man.