If it happens once in a century, by some fluke? Probably not. If it happens with any consistency (say, 20% of the time, favoring a particular side) over a lon

If it happens once in a century, by some fluke? Probably not. If it happens with any consistency (say, 20% of the time, favoring a particular side) over a long enough time period, the majority is going to become disillusioned for obvious and frankly good reasons. A disillusioned majority is not good for a democracy. Edit to add: Of course, with this particular effect, it is not necessarily clear to the demographics whether they are in the majority or the minority. This can lead to the paradoxical situation where everyone believes they are in the majority, and still get their way less often than they should. I think this is the case in much of the world today.