This is not true and monitor makers have said that extra costs go into designing a G-Sync monitor and the sales are not high so the price has to be to make a profit. This does not need to be done with Freesync hence the savings.
Indeed. A major part of the cost is that g-sync requires monitor manufacturers to add a separate board. They spend a lot of money on R&D and design, it's not as simple as just slapping a board in there, it costs money to figure a solution. In comparison, freesync is readily able to be integrated into existing designs, that's why it doesn't have a premium.