OPEC's oil production rebounded sharply in June as Gulf producers finally began bringing shut-in barrels back online after months of war-induced disruptions. But despite the impressive headline number, the cartel is still pumping nowhere near where it was before the Strait of Hormuz crisis turned Middle East oil flows upside down. According to Reuters' monthly survey, the 11 OPEC members produced 19.43 million barrels per day in June, up 3.3 million bpd from May, when output plunged to the lowest level recorded by the survey since at least 2000.…