obviously bitcoin can reduce global economic inequality. because the value of each country's different currencies is very influential on trade between countries. if the bitcoin currency can become a global currency then what happens is that there is no difference in the value of currencies in each country. because the value of bitcoin in all countries is the same.
Yes, a global reserve currency has it's advantages like financial stability and much less currency volatility, but it does not reduce inequality. People might be protected from hyper inflation, if they use Bitcoin as a global reserve currency and that might protect the value of their wealth, but we need more examples of how Bitcoin can solve global economic inequality.
How do we get "wealth" in whatever currency, in more people's hands, without just giving it away. How can a better technology like Bitcoin achieve that goal?