Finally, someone likens Volcker and Greenspan for the Keynesians that they were instead of the Neoliberals that they are usually purported to be. They are precisely not Neoliberals because of their inflation targeting and floating interest rates, which were anathema to Milton Friedman - arguably the most influential Neoliberal.

So what about the effects of their policies on unemployment?

Volcker was chairman from 1979 to 1987.

Greenspan 1987 to 2006.

From the wiki page, it seems that in both their cases, unemployment went up at first but ultimately went down and ended up more or less where it was when they started their tenures. It's difficult if not impossible to conclude that inflation targeting has any effect on unemployment.

https://en.wikipedia.org/wiki/Unemployment_in_the_United_States