the value isn't derived from fiat, this is a wrong statement.
it's priced in fiat, but it's value does not come from it's relation to another currency. 

what you're saying is that bitcoin needs to replace the dollar standard of exchange, which in time it will. 
The problem is USDT, the digital dollar which still seeks to price every thing in dollars.

If you want to start this process, then simply change your medium of exchange from fiat to btc. Price everything in BTC or sats and work from there, and voila, you've achieved the 'standard'. Now get more merchants and plebs to use it and voila, we have a 'global standard'

Be prepared for war thought