Actually, what you say should be written as following:
Bitcoins -> paper Bitcoins by all banks (causes inflation and bank-runs) -> paper Bitcoins by Central Bank (establishment of gold Bitcoin standard)
And after that we begin running into ever deepening economic crises which finally bring about dismantling of the Bitcoin standard (see the Great Depression), so the last step will be:
paper Bitcoins by Central Bank (causes deflation and incessant economic crises) -> fiat by Central Bank (Bitcoin standard dismantled)
This argument is wrong for these reasons. Let's use the wikipedia article on the gold standard.
The unequal distribution of gold deposits makes the gold standard more advantageous for those countries that produce gold.[61] In 2010 the largest producers of gold, in order, were China, Australia, US, South Africa and Russia.[62] The country with the largest reserves is Australia.[63]
Could you please expand more on this? Not saying that you're wrong, just don't get your point and how it is related to the issue at hand, i.e. how unequal distribution of gold deposits could support the gold standard itself and mend its inherent deficiencies?