Your last point will remain an issue so long as the fiat system continues anyway. Those close to the money printer obviously benefit the most, and then the people with excess capital to act quickly to take advantage of any market inequalities, and then the poor are stuck paying increased prices having derived no benefit from the monetary expansion (Cantillon effect).
This makes the benefit that the poor would derive from transitioning to any hard money standard (Bitcoin being the hardest money ever) one that takes time to take effect, but it would level the playing field in a way that addressing the fiat system with fiscal policy changes never could.