[singlow]

You have both training and selection in both cases. In both cases you have extensive training and in both cases the number of training hours is ridiculous. However, there are negative and positive selection biases for each. Baseball has million dollar contracts as incentive, but also has the negative selection biases associated with the relatively small portion of the world that has baseball training facilities and the added requirements of physical strength that may prevent many with the natural talent from being eligible.

Large salaries are not necessarily enough. If you select the top 100 people in the world for natural talent in reaction times, how many would meet all of the requirements for being a good baseball player?

Baseball players make good money only if they can combine a top 0.01% reaction time with all of the other skills. There may be plenty of people that can top that one aspect but could never compete for those contracts.