I can't say that I particularly disagree with you
In general, I think essentially along the same lines mostly because Bitcoin is a zero-sum game and in the long term it should be as you say. But the devil is in the detail, and the detail you seem to be missing here is that, first, Bitcoin is an open system (read you don't count in the money that could flow in from outside), and, second, you forget that many people were sitting on the piles of dollars before the split but now they may be putting their dollars into action. The bottom line is that both regular Bitcoin and Bitcoin Cash could start rising, and that could be puzzling or confusing (unless you see the whole picture like the one I described)