What you're describing is what I would actually call the step prior to everything being truly priced in bitcoin.

Widespread acceptance of bitcoin will likely occur while some fiat or other is still the unit of account. In other words, the price will be in terms of fiat, but you can pay with bitcoin at the prevailing exchange rate.

The ultimate money step for bitcoin will be when people do their accounting and price discovery in terms of bitcoin. That means they'll be defining contracts in terms of bitcoin and thinking of things as being cheap or expensive because of how many sats they cost. People will ask to be paid one bitcoin per year, for instance, rather than asking to receive their $70k in bitcoin.