I mean I'm happy with the idea of judging people on their words and actions and making an active decision not to buy their books or whatever because I don't want to reward them financially. I'm also happy acknowledging when a piece of 'art' I've engaged with espouses sexism/racism or whatever and incorporating that into my overall view of it, as opposed to ignoring it for the sake of ease. I don't see any issue with content warnings and all that stuff, sometimes it's a bit precious but it's not really hurting anyone.
I think that's very different to say, refusing to engage with Shakespeare, or telling others not to, because his plays contain themes which don't line up with 21st century morality. I'd say that's pointless and counterproductive. One of the most fascinating things about reading Shakespeare for me as someone interested in history is what it says about the society it was written for and how it influenced later thought.