I think a more realistic distribution is that the top 1% owns 99% of the Bitcoin. Consider the whales with 1,000+ BTC... Surely a Bitcoin world will have unequal distribution.
Could you crunch the numbers for this case?
We can get a rough idea of the distribution from here https://bitinfocharts.com/top-100-richest-bitcoin-addresses.html but of course we all know people can have multiple addresses.
Multiple people also have one address (exchanges holding users' BTC in consolidated addresses). So on-chain analysis is very flaky for getting BTC distribution.
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