For crypto payments to be accepted in businesses in the above scenario (and therefore become as mainstream as Visa or Mastercard), a robust stablecoin would be required, like what MakerDAO[2] is trying to achieve. Even though I've invested in them, I'd ultimately give them perhaps 10-20% chance of succeeding. Their product is incredibly hard to wrap your head around.
However, if Sai or some other stablecoin can achieve quick, cheap transactions, then it's possible that consumers will use it for everyday spending. Big "if" though.
If they some day will be accepted as a regular currency and you can buy everything you need with them then there is no reason to go back to local fiat. Then the prices on the shelves would indeed be denominated in units of XMR for example.
That is indeed a big if though.
Technically Monero is indeed the closest as it's the only fungible coin, which is an essential property.