Converted Orthodox Boxer Vs Converted Southpaw Boxer?

Does being a converted orthodox or being a converted southpaw give a boxer an advantage or make no difference?

Some great left handed boxers who were converted orthodox have got to world title level are

Oscar De La Hoya
Sonny Liston
Miguel Cotto
Gerry Cooney

Similarly converted southpaws (naturally right handed) boxers have been successful like

Vasiliy Lamenchenko and Shakur Stevenson

Is it more of a biomechanical advantage to lead with your non dominant hand? There are plenty of great examples of great southpaws out there! just to name a few.

Marvin Hagler
Joe Calazghe
Andre Ward

Does anyone know of any other examples of converted orthodox or southpaw boxers and what might be the advantage? Is it likely the personal preference of the boxer themselves or at the insistence of a coach?

There are also plenty of examples of switch hitters but as we know they doesn't always warrant the most desirable result for instance Marvellous Marvin Hagler Vs Sugar Ray Leonard with Hagler boxing orthodox in early rounds and also more recently Dillian Whyte Vs Tyson Fury with Whyte coming out early as a southpaw?

 

Yes I have heard that? can anyone confirm it?

 

Henry Cooper I think was naturally left handed too but boxed orthodox his left hook knocked down Cassius Clay.