Even if you distribute the wealth evenly to everyone on the earth, after a while, some of them will go broke and some of them will become super rich
What you write here seems quite fair, but the suppositions that follow don't really follow...
Some people are more productive and others less. What you describe above restates that fact.
However, bitcoin inequities don't follow from the same principles. Very productive people have zero bitcoins because they are busy building houses with their time. Other chronically unproductive people chose to burn cpu cycles instead. It seems like all cpu work was valuable, but it really wasn't. If one tenth as many people has burned one tenth as many cpu cycles... the same amount of work would have been done.