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It's not like central bank governors are thinking "What can I do today to maximize wealth inequality the most?" Not at all. Instead, they focus on *proxies* for wealth inequality. Proxies like the stock market, the price of houses and other assets, and unemployment. Actions that drive up unemployment also drive down working class wages and thus labor costs, which increases corporate profits and thus the wealth of the wealthy. Practically everything central bankers consider "good" is a proxy for increased wealth inequality, while anything that reduced wealth inequality would cause those proxies to move in a direction they would consider "bad".

Think about what it would take to make houses affordable: either house prices would have to grow more slowly than inflation, which would require high inflation, or houses would have to fall in price, which would drive up the default rate and require bailing out banks and the GSEs that support the mortgage market. Meanwhile, that would cause the total wealth of the 50-90th percentile to drop dramatically, because home equity represents a substantial fraction of their net worth.