Can’t say I agree with cozy romances can’t be explicit and can totally imagine a work of cozy erotica… and as often as it features bloody corpses on screen/page, I still feel like Detective Conan is rather cozy for a mystery franchise… Granted the premise of DC is a teen prodigy gets drugged with an untraceable poison that due to a two-in-a-million fluke puts him physically in the body of a 7-year-old instead of killing him, our shrunken detective ends up living with his childhood friend and primary love interest and her bumbling alcoholic father of a private eye, uses a tranquilizer gun wrist watch and voice changing bowtie to routinely ventriloquist dummy said bumbling P.I. since no one takes a child prodigy seriously as a detective, said watch and bowtie are only the tip of the iceberg of gadgets out little detective gets from his eccentric inventor neighbor, plus our shrunken detective often has to wrangle a trio of actual children with aspirations of being detectives… The whole thing is so farcical it’s easy to overlook things like a man getting decapitated in the first episode and the core cast tripping into murder scenes on a seemingly daily basis.
But yeah, like a lot of descriptors, “cozy” is rather subjective, and it makes sense that it would have been diluted by marketing attached to media that’s all flash and little substance.