If it happens yes. I think it's more likely to get monetized over about 3 decades and then everything is just priced in saats and continues to get cheaper as it reflects the deflationary effect of technology. The price in fiat will continue to rise until then, rising less and less every year. I think 1BTC will get to $10 million in todays purchasing power, (not adjusting for any future inflation). By the end USD will hyperinfllate so the final number will look stupid by today's metric and could be anywhere. Trillions.

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The question is actually, once we price everything in sats, do you think prices will continue to fall quickly?

All prices will fall steadily imo. Some quicker than others. Depends on technological breakthroughs. Prices will adjust as lot quicker.