The 200K is not paid to the government but to the previous owner of the plate. So yes the price is dictated by demande/offer but you are true that by restrictin

The 200K is not paid to the government but to the previous owner of the plate. So yes the price is dictated by demande/offer but you are true that by restricting the offer the are artificially raising the price of the plate. When Uber started operating in Quebec the price of a plate in Montreal dropper to around 160K. That was the major point of dispute, since taxi drivers usually get loans to buy these plates knowing that they can re-sell then anytime. Uber changed that.