Does anyone have information whether bitcoin would distribute wealth more equally across people than the current wealth distribution?
Or would the distribution be even more unfair?
If you're asking for a concrete data about that, I don't think no one can provide.
Answering your question, equal distribution of any form of wealth would be unfair both to low class and high class citizens. Why would someone work hard if they could only have same as to those who are lazy enough even to wash their own dishes?