Well the bigger end is called the ball and smaller end is the tip. I've been twirling for a long time and I think the most logical answer to your question would be because it is easier to use a certain end depending on the trick.
For example when I do slings I like to hold the tip because it makes it go faster and moves more easily in my hand. But when I toss it I use the ball because I can give it more power
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it is easier to have control and gives it a better balance when it is spun for tosses and such