Yes the white paper does say that but in practical terms that's just not the case. If it was we'd use it that way but it's not possible. Obviously it can never be done on the base layer so until a Layer 2 solution is built that allows for large scale transactions to work fast & easily it won't be used as digital cash equivalent to fiat. It will be years if not decades before that happens, if it ever does. That's why in countries that have weak currencies & high inflation people use stablecoins, they are more equivalent to using cash than bitcoin.