My take:
It's easier to become "good" at one sport if you already work another (for example, if two officials start working basketball, the one who already works baseball will, in general, be a better basketball official after years 1, 2, and 3 than the official who is just starting to officiate).
If you can work one sport (nearly) year round, it's easier to become "very good" in that sport if you do so, rather than splitting the year among different sports (for example, and official who works baseball year round will, in general, be a better umpire than the official who works baseball in the spring and summer and basketball in the winter).
If you can't work one sport (nearly) year round, there's not much of a penalty, nor an advantage, for working a second sport during the off-season (for example, the official who works baseball during the spring and summer and basketball during the winter will, in general, be of equal quality to the official who works baseball during the spring and summer and nothing during the winter).
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