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The market has decided BBR is 3rd. That's not a bad showing, and the competition makes all participants stronger.
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Third or fourth, since actually Bytecoin has a 33% higher market cap than Monero. This is likely due to manipulation, but which markets aren't manipulated?
The lack of liquidating, volume, consistency and stability in all crypto "markets" makes the so-called market cap next to useless. It's merely a gimmick for speculators and manipulators.
In terms of real world adoption all coins (including Bitcoin) are equal nowhere. At least 99.999% of the world's population have no dealing with crypto, despite it being mooted as the supposed successor to fiat. We're at the bottom of the first innings, in terms of what really matters.
Should crypto gain traction and should there prove to be real world use cases for anon coins... that's when any debate of "what-coin-is-more-valuable-than-others" makes a semblance of sense. Until then it's all blah blah blah hyperbole nonsense.