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 Historically, fiat is a paper representation of the physical gold. 

There are several neutral locations where you don’t have to fly yellow rocks across the world. Switzerland, UAE, Singapore, and etc. Even if countries didn’t trust those nations. 

There is a standard for metals in specific bullion vaults. So verifying would be minimal. Modern cargo plane could deliver 15 billion dollars worth of gold overnight from anywhere. 

So, I am not sure the slowest.

Today, Saudi Arabia takes Yuan. SA immediately go the Shanghai exchange use those Yuan and buy gold and have it delivered immediately. 
 Fiat by definition is backed by nothing.  A gold backed currency is not fiat.  And your suggestion that the BRICS nations are going to trust Switzerland, or any other nation, with their country's capital reserve is absurd.   The very first thing you need to ensure something like that is a massive military.  This is why the US held so much of Europe's gold until they rehypothecated it.

The fear of rehypothecation of gold is far too high for a country to risk it's financial stability on another nation.  This is why it's not done.

As far as flying gold around on a plane, that's great unless the plane crashes, is hijacked, terrorized, stolen, lost, and so on.

This is why gold is not used to back any currencies in the modern era.  It's way too slow, way too expensive, way to dangerous.

Nations that hold gold, and most do, hold their own.  You cannot create a currency which requires trillions of dollars of liquidity and back it with gold.  Not since the telegraph has this been a viable solution. 
 and as far as verification goes, you say it's "minimal"?  It requires chemistry to verify gold.  It's actually quite cumbersome and slow.

And 15 billion dollars of gold isn't shit when you are settling international trade between major nations.

If countries could use a gold backed currency they would have been doing it for a long time.

BRICS has only 1 way to create a backed currency, bitcoin.