Namikazenaruto9 wrote: Hyuga's are genetically pure species considering their background of inbreeding.
Not really though. OP is asking about Otsutsuki, in which case the Hyuga are hybrids and not pure of species. A Boruto animator suggested that Boruto's unusual eye is due to a combination of Kurama and Hyuga genes, suggesting that there are at least two separate chromosome pairs involved with the Hyuga genome (since Boruto lacks a Byakugan and Himawari lacks a "Jogan").
Himawari also lacks the standard white eye of the Hyuga, suggesting that she doesn't have the whole Byakugan package either.
Hawkeye2701 wrote: I just feel the need to be clear, I wasn't taking about the descendants having anything like the Sage's power, just the theoretical inheritance of genes.
I don't think this distinction matters a lot, seems like most people got the picture. The issue with recreating an Otsutsuki is that it would require a recombination of a large number of genes, and that this recombination is unlikely to happen.
As i outlined before, there are MANY ways in which Kaguya's alien genes can combine and recombine even in relatively genetically pure people. Sasuke, Naruto and Hinata would need quite a breeding program and scheme to get an otsutsuki back, and even then it's unlikely since said otsutsuki offspring would him/herself need to reproduce with a genetic equivalent to maintain this offspring.
So whether you're talking about power, abilities, features, KKG, KKT, or clan genes doesn't really matter because in any case you are talking about many genes needing to be combined into a single individual, whereas the statistics suggests this won't happen.
If you want, i could give a small numerical breakdown for a simplified (say, 4 chromosomes) system. But this would make my current post too long.