Bennie was known for his toughness, strong punch and body punching. He fought future middleweight champion Monzon to a draw in Buenos Aires on May 6, 1967, but dropped a 15-round decision to the champion in a 1972 title match, when Briscoe managed to stagger Monzon very badly with a solid lead right at 1:50 of the 9th round, sending Monzon to the ropes with his eyes blinking wide, ropes saved Carlos from falling down to the canvas, followed immediately by a left hook to the chin, and Monzon clinched him tightly to buy a time, though Briscoe didn't make it to finish him for he was not fully recovered after being struck with hepatitis, and local referee constantly interrupted in course of the fight. Each time Briscoe tried to capitalize on the openings, created by Monzon's high handguard, to administer his devastating body shots, which landed perfectly to the body, and by no means below the belt of his opponent, local referee stepped in without hesitation and warned him about low blows. Thus far he restrained himself from throwing body shots, even when in perfect position to do so, constantly afraid of being disqualified. Nevertheless, both losses came essentially due to the fact that Briscoe and his coach did not came up with any decent gameplan or strategy, while Monzon's camp studied the films of Briscoe fights very carefully, adjusting Monzon's style to perfectly counter Briscoe's front-running style, mostly outjabbing and outboxing him from the safe distance, available by the reach advantage.