I'm going to take the opposite position, people aren't stupid.
Jokes, parody, and satire don't exist in an amoral/apolitical sphere and by necessity must have non-joke, non-parody, and/or non-satirical elements to be funny (i.e. the grain of truth). People aren't stupid -- they get the joke, recognize the real message being conveyed and are mad because that real message is shitty. "It's just a joke" isn't a defense against that.
The wanna-bee conservative onion has a wealth of examples if you want them. This is their current hero image on their front page https://www.amazon.com/Babylon-Bee-Guide-Gender-Guides/dp/16.... Perfect example -- it's well within the realm to make jokes about this topic, the queer side of the internet is overflowing with them. But while this is absolutely satire the real message underpinning is honestly pretty mean and people recognize that. One of the sections is "How can I mold the world to fit my Perverted Delusions?" which is a joke on the surface but the real content is just rehashing the trans people are mentally ill, trans women are sexual deviants lines which at the same level of "comedy" as watermelon and fried chicken jokes.
Jokes, parody, and satire don't exist in an amoral/apolitical sphere and by necessity must have non-joke, non-parody, and/or non-satirical elements to be funny (i.e. the grain of truth). People aren't stupid -- they get the joke, recognize the real message being conveyed and are mad because that real message is shitty. "It's just a joke" isn't a defense against that.
The wanna-bee conservative onion has a wealth of examples if you want them. This is their current hero image on their front page https://www.amazon.com/Babylon-Bee-Guide-Gender-Guides/dp/16.... Perfect example -- it's well within the realm to make jokes about this topic, the queer side of the internet is overflowing with them. But while this is absolutely satire the real message underpinning is honestly pretty mean and people recognize that. One of the sections is "How can I mold the world to fit my Perverted Delusions?" which is a joke on the surface but the real content is just rehashing the trans people are mentally ill, trans women are sexual deviants lines which at the same level of "comedy" as watermelon and fried chicken jokes.