To add to the other replies, your dominant hand often moves around the most on a drum kit, replacing high hat strikes with other cymbals or drum beats.
The typical way a kit is laid out, most of your other cymbals/drums are on your dominant side, and the high hat isn’t, so when you want to replace a high hat strike with a crash cymbal, you move your dominant hand clockwise around the kit.
If we use a clock face as an example, your dominant (for me, right) hand moves like the minute hand around the drum kit, and the left hand moves to support what your dominant hand is doing. You want your dominant hand to have the most freedom to move, which is why it goes over your non-dominant hand.
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