I don't think any action the fed takes can reduce wealth inequality because of the simple reality that there is a capital class, and a class without capital.
Once one has capital, they can take any direction of the market in response to any market condition.
It "reduces" only in the sense that asset values decline for passive holders, but its hardly a different reality for those with negative/zero/five-figure net worth and the whims of those with 7, 8, 9, 10, 11 figure net worth.