anime-only friendly if you skip the [part that looks like this]
I think that curse techniques are only "inherited" because the generational trauma that causes them keeps repeating within those families. (and just because someone faces the same experiences doesn't mean that they'll have talent as a sorcerer)
Gojo's infinity, not being able to be touched, because he grew up so isolated. locked away from the world, unable to connect with others bc of that his entire life. being pushed and pulled around by others, and hollowed out. oh my god he had a freeze response. being able to see everything and do nothing about it. I also think the Gojo clan has the most incest abuse, and his inability to ever process that means he can never be fully honest with a woman, that he's in denial of what Ui Ui was going through, and in the end [big manga spoiler: bc Ui Ui was working w Mei, he confiscated Gojo's body in Shinjuku before Sukuna would have healed him out of boredom. would have coughed up his own fingers to feed Gojo. This would have saved Fushiguro. Gojo could have been the hero, if he were honest with himself.]
The ten shadows technique might develop after losing guardians, one after the other, there's grief and shadows and you're forced to adapt and become your own parent.
Resonance makes sense for Nobara, who felt the pain of others, related to them, despite the distance. How she grew up in the countryside but felt homesick for the city. Her grandmother likely felt the pain of long distance as well.
Kamo clan is harder to analyze since the most notorious event was actually done by Kenjaku, but Fushiguro even mentioned that blood manipulation is fitting for a clan so obsessed with bloodlines (paraphrasing bc I forget exactly, edit later it's in the exchange event arc).
and Sukuna’s CT of slicing and burning — it is heavily implied that Kenjaku did to Sukuna, what Sukuna did to the spirit which ate his finger in the detention center. This might develop his slicing technique. And the burning — going into the Ainu history, how they were displaced from homes burned away. Their tattooing technique involved slicing the skin and burning materials for the pigment. And the sound of metal like that is sacred... I rly do think he gave himself those tattoos with his CT, in a moment like Gaara (from Naruto), a heartbroken attempt to show himself love.
I think a similar thing plays into the Inumaki clan, with marks that resemble the style of Ainu tattoos (and even placement). Being forced to assimilate and hide their culture. Having their body modifications be criminalized, forced into hiding and almost losing their language. And since this violence has forced silence for centuries, of course that CT will appear through generations. There's also the way that Toge hides his tattoos constantly (though typically they were for women and beards for men, jjk is full of trans characters imo).