I am aware of today's inequality (e.g., I read Piketty back when he was making a splash). But the critique is that Greenspan argued gold standard = less inequality and that fails on the historical record.
If we want to talk about the causes of the 'New Gilded Age' that's something else. As a general starting point I'd begin with:
* https://en.wikipedia.org/wiki/Friedman_doctrine
Gold Standard is probably a force that acts against inequality but the forces pushing inequality today are just much stronger. Technology that creates winner take all markets and incredible leverage with few people being one.