What these sports have in common is that they require active body movements and also an ability to respond to either side.
Individuals with crossed hand-eye preference seem to be much better at gymnastics, running, and basketball because of the way in which congruent and crossed sided individuals position their bodies.In baseball a left-handed batter is about two steps closer to first base than a right-handed batter, one important advantage.
Every fielding position can be played by a right-handed thrower, although left-handers are considered more valuable pitchers and have a slight advantage at first base as they do not have to turn around to place their foot on first when stretching to catch a throw, and because their gloved hand is closer to the runner on pick-off plays.
Conversely, left-handed throwers are almost completely absent at the highest level at the other infield positions and at catcher.
[7] There are a few position players, such as Rickey Henderson and Cleon Jones, who bat right and throw left, but this serves as a substantial disadvantage.