In the world, the wealthy become wealthier, the poor become poorer, the middle class disappears. One of the reasons of this is the inflation: it is a kind of regressive tax, this tax is paid mostly by the poor because they loose their savings, while the wealthy keep their savings not in money but in assets. So, since the bitcoins are a way of keeping the savings, they can fight inequality to some aspect.
However, I am sure that only switching from inflational economics model to deflational one can't change the things significantly. The main reason of the disappearance of the middle class is political: the wealthy 1% of the population are the ruling class, and they pass laws for making them more and more rich, for example under Reagan the taxes for wealthy were cut. They also control the mass media like CNN or Fox News, and these mass media lie about the problem of the disappearance of the middle class.
But I think that the rise of cryptocurrencies will be an important first step towards a revolution in the Western world against the Deep State. I found that many people in the Western world, especially in Europe, are brainwashed - they often simply deny that the inflation is a hidden taxation. So when the bitcoin will cost 1m, these lies of the ruling class will be destroyed, the people will start thinking. That's why buying bitcoins now is an investment into future revolution of the Western people against the Deep State, so I think that in nearest years the bitcoins will grow very rapidly.