I seriously believe that Bitcoin could be the greatest transfer of wealth in human history. Although my friends and family still think I'm crazy, but we shall see.
Biggest transfer of wealth? Do you mean that today's poor people will become rich? Nah. That won't happen. Already rich people are investing in bitcoin, which will make their fortunes even bigger.
Distibution of wealth don't change. Bitcoin created some 'bitcoin millionaires' as early adopters were pretty lucky to be part of the beginning of cryptocurrency, but that's it.
Most of those rich cats are involved indirectly are backed by the known coinbase or other VC ventures.
So basically they do have a certain amount of bitcoin like you stated how the todays poor will never become rich. But very rare, small group will have a significant gain based on the value going up only cause they had a graphics card to mine with in the early days.