In short Bitcoin will help many of the super rich become richer...that's all.
This is an interesting point. And it's definitely true that bitcoin can make the rich become richer, it's not because it's bitcoin. It's because to make money you gotta have money. Any investment can make the rich richer because they have more money to use to leverage the upside potential of the investment.
What is funny in this whole discussion, is the idea that one "becomes rich with bitcoin". How does one become rich with bitcoin ? By selling it to a greater fool. If bitcoin were a CURRENCY, it would be simply an intermediate asset that helped a trade. But if bitcoin is a speculative greater-fool asset, then you can become rich with it.
How ?
1) by being an early adopter. That means, by having been a geek at the right moment with the right information. If these people become the new elite, that's just replacing an elite with another one (Winkelvoss brothers ?).
2) by trading with inside information (when you can manipulate markets). You can only win in a market for sure, if you have information others don't. The poor guy doesn't. If he starts trading bitcoin, he will just pump his money into those that have information.
So bitcoin as a vehicle to become rich through seigniorage (early adopters), or inside information (market manipulators) is just going to make a new elite, partially the old elite btw, and a few new bourgeois, who know how to play best the greater-fool game.
It is not going to relieve poverty problems in Africa, for instance.