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In short, I have adopted a formula for myself that your thinking as a bettor will develop when you study different sports and compare them with each other. Do you think this development really happens? If so, how does it manifest itself?
I believe it could work, but it would mostly depend on the capacity of the bettor and whether knowing more about other sports could indeed open their mind to analyze and get better on the specific sport they like to bet on.
But honestly, I think for most of gamblers/bettor would not benefit from learning more about other sports, if they do not intend to bet on them, it would likely be a waste of time and unfortunately not all bettors have the time and patience to reseach on multiple sports for the sake of it.
If they discover some new sport they did not know about is of their interest, though, it would be a completelly different story.