two separate scenarios Naruto was the reincarnation of the Senju bloodline Asura along with Hashirma also being the reincarntion of Asura while Megumi is a true Zen'in via Tojo Zen'in his father, he simply has his mothers name, and so would be his children many generations later then that would change.
Gojo & Sukuna aren't even cousins they are distant relatives via Michizane Sugawara - now in this instance they are both more likely to have traits of the Sugawara clan than Yuta to have Gojo traits as they are going down different generations in their family tree we are talking a 900yo ancestor thats at least 9 generations of different paths which can lead to a number of different possibilities and new bloodlines we can use Naruto as our example: You have Kaguya who is the mother of all Senju, Uchiha and Byakuya, yet none are directly linked to one another, the Senju and Uchiha have the same Father which would can use as Sugawara & say the Gojo are Uchiha and Senju are Okkotsu, if they were more closely related it would be more of a believable and viable way for Yuta to inherent or copy any of the limitless techniques, furthermore it has been touched on so many times that Yuta can NOT and would NOT be able to use Limitless or 6E by simply copying or having Rika eat apart of Gojo. Shoko clearly outlines and explains so i'm not sure why everyone continues to call this bad writing or be pissed off that Yuta in order to use any sort of the Gojo Limitless Techniques he literally had to become a Gojo himself.
Yuta utilized his technique as best as he could in order to obtain such high level jujutsu via mimicking Kenjakus body transfer technique now its the extent of how it will end is the question.
Honestly I don't remember the Michizane Sugawara stuff so I won't argue that.
I'll comment that the Kaguya ancestry part never made any sense to me. Kind of offtopic so feel free to skip it: her grandchildren already were like two completely different clans out of nowhere, while their distant descendants kept every single one of their "clan" traits through tens of generations, while at the same time the Hyuga were suddenly born from the Uchiha and have Kaguya's eyes instead of the inherited sharingan, while at the same time you have the Kaguya clan that somehow inherited her bone techniques out of nowhere.
Too messy.
Anyway, Yuta can't use limitless because he doesn't have six eyes, and he can't copy six eyes because it's not a cursed technique, that's what has been said, but has it been addressed why he can't get a transplant of the eyes? After which he would be capable of copying limitless.
I'm not pissed, and I'm not calling this bad writing, I'm only questioning why the transplant wasn't possible. I'm fine with what we got, although it
is a big shame Yuta had to resort to this, I did want to see him grow more naturally.
Edit: The discussion on whether the transplant would have worked obviously ignores that fact that Yuta was dying in the scenario we got and the body transfer is the only thing that could even keep him alive. It's only about whether it was possible or not.