The more interesting question is: what do we do with the art of people who were revealed to be terrible? I first saw people wrestle with this idea for Michael Jackson and recently it has been a big issue related to Kanye West.
People also like to be selective about which artists they try to memoryhole. John Lennon was a wife beater, an adulterer, and a deadbeat dad but people still love his music (though I personally think his solo career was worse than Paul's).