Being offended by things doesn't mean sit on your hands and do nothing to change them. Accepting that, essentially, "life is shitty get over it" really isn't healthy, or conducive to emotionally healthy living. As a queer dude with a hell of a lot of baggage in that department, "live is offensive that's just how it is" is probably the single worst life lesson I ever took to heart because it caused nothing but pain and self loathing to build for a long time before I realized it was BS.
Brushing aside offense and derogatory jokes as "just comedy, that's life" solves nothing and helps nothing move forward.
100 years ago this was comedy
Should black men and women have stayed silent and just accepted it's existence because "well it's just life, you're going to be offended by something"? Should they have allowed it's continued life because "well if you get rid of this, where does the slope end? Now you've white washed and sterilized all comedy"?
There has to be a line somewhere. Yes, that line changes from person, to person, because THAT is part of life. But yes, people can and should change things about what they do and how they act because of other people and their right to feel safe and respected, that is also part of life.