The term "dad" in "dad joke" excludes anyone who doesn't, is incapable, or chooses not to have children (procreating?) and who also identifies (explicitly or implicitly) as a member of the category "male" (a vestigial term from the sex-assigned binary heterodoxy).
I don't think calling "dad jokes" just "jokes" is precise enough language because people typically are trying to refer to a genre of joke when they use the term.
Maybe "cringe funnies?" Although "cringe" is more of a slang term from the internet and isn't robust enough to survive into perpetuity...
I'm actually serious... What are some good alternatives?