Not a whole lot of ballplayers more competitive than Pete Rose and there's a story about him in game six 1975, aka: what would become known as the Carlton Fisk game. That game was already a wild back and forth arrair long before Fisk entered into the body English olympics. So a Boston player, forget which one, gets on 1st at some point in the late innings and is greeted by Rose asking him, "Is this a great game or what?". iow, depending on how one wants to micro-define 'fun', I don't think it and competitiveness are mutually exclusive concepts.