That does not necessarily follow. They may very well cost the same or slightly more. Even in competitive markets, the assumption that price of a product is very close to the minimum possible costs of manufacturing does not hold. Real markets are nowhere near that efficient. There's lots of wiggle room in prices.
My overall point here is that removing some options isn't about taking away people's freedom to choose; it's about preventing the market from offering a rigged choice in the first place.