Capitalism gives everyone the opportunity to work hard and climb the social ladder to the top. People go to the US poor and they put in much effort and within a few years, they are millionaires. I know it doesn't sound easy the way I said it but such things happen. You can hardly find an African billionaire in Russia but there are plenty in the US and Europe.
My country practices capitalism but the land also belongs to the government. You are given a certificate of occupancy and not a certificate of ownership. But the difference is that I can decide what I want to do with my house or land with less control. I can make decisions on selling and renting the house without much influence from the government. But you still don't own it because you need permission for almost everything you want to do with the land. The difference is that in communism the control is very strict.
You are correct, Bitcoin is not controlled by any government and it gives full rights of ownership. You can move your Bitcoin to any country and still have full ownership.
It doesn't give "everyone" the same right. There are still inconsistency, inheritance, bribery, corruption, there are still plenty of ways, and if you are a good person, like actually good human, with no rich parents, it would be very very low chance for you to have a decent life. Do you have the possibility?
You do, but it's a very low one. And we traded that for a better life. People saw communism, and said that we should not be like that, and then they went right the opposite direction, and yet, there are many European nations, that have socialistic approach, like how some nations prevent people to be at the very bottom, while charging higher taxes for the rich.
My suggestion is be a liberal/capitalist nation, but also make sure taxes are good for the corporations too, not individuals.