ETH price after EIP 1559

One thing I can't understand about future ETH price. I've heard a lot of assumptions that with EIP 1559 ETH can go deflationary, meaning it's supply would gradually shrink, driving the price up. This is good and all, but, with ETH being used as gas for any transactions on blockchain, in long term that means gradual increase in fees too. Eventually, with ETH supply declining, they can grow so high that it would just be unreasonably expensive to use compared to other similar blockchains. Where am I wrong?