Nah. Cryptocurrencies would always end up at the hand of a small elite, just like fiat. Mostly early adopters would be those on the top but as in the case of bitcoin, the people rich in the traditional sense (plenty of liquid money) can simply afford to buy in as much as they want after they have weighed in on possible profits.
There will never be total equality in this world. The rich always becomes richer because they end up joining forces with other rich people. Meanwhile, the poor and the common man continue to struggle with his daily life, trying to make ends meet, some living from paycheck to paycheck. That’s the harsh reality of life when it comes to wealth distribution. The gap between the rich and the poor has never been wider, and I don’t think bitcoin or any other currency can really tilt the balance in favor of the less privileged ones.
Only communists ever believed it'll be possible for people to be all the same. Some people would just be gutsier, luckier, smarter or more industrious. Just look at bitcoins. Those who bought $1000 of it on 2010 would already have $46M by now.
For me the ultimate goal is just to keep the gap as realistically small as possible and to allow enough social mobility so that it's possible for people to go up the ladder in less than 3 generations.