This is a very interesting observation, and I found similar differences for young kid students as well. There are those who would show/share their toys/prizes, and there are those who got new toys/candies, immediately hid/ate them. They tend to “focus” differently when they practice/play, those would “build” and expand, regardless of winning/losing, and those just want to fight and capture stones, and care a great deal about winning/losing (or at least capturing), and sort of have to teach them the opposite ways.
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In fact those were the original rules of Go. You fill in the board with as many stones as possible (leaving the two eyes per group open), and then count all the stones. It’s by far the most intuitive way to teach the rules to children and, frankly, to many adult beginners as well.
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