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You can easily be as in control as when you're on skis. And realistically pose an equal risk to others on the hill.
The issue in my experience is as already mentioned - a lot of folk over estimate their ability (on both types), a lot of folk are not familiar with the other sport (your movement about the mountain is very different on skis to a snowboard) and the snow conditions: if it's ice and you're on a board you need to rethink life a little.
I've probably been taken out by even numbers of both clans, but have a definite bias against whatever the opposite is to what I'm on that day. And I'm sure we can all agree Big Foots and Ski Bikes are the real problem ;)
I have never been on a snow board, but a question based on observations made over the past two weeks (including a chap on a snowboard wiping my girlfriend out by running straight into her from behind) - is the rider in control as the word is commonly understood, or are they providing very approximate suggestions to the board as to where it might want to go next?