Hagler well i think he was slightly more right handed than left handed. he was pretty much ambidextrious
Left handed who developed a right hand under Roach. It was the right that took Diaz by surprise. After that fight you can see him using it heavily versus Oscar and Cotto (Hatton fight was too short to give an accurate judgement how effective it would have been versus him).
I'm not entirely sure, but I think the TC asked for southpaws that actually go about their daily lives right-handed. And in Pac's case, he appears to actually be ambidextrous (seen him throwing baseballs with his left, signing autographs or throwing darts with either hand, etc.) with no real indication on which hand he favors.