Yet More TENCHI Spoilers
I think the King’s statement about “hating humans” is just an excuse… after all, aside from being married to one, according to Ayeka, he had actually issued a mandate for Jurians to go out and marry outside races (assumedly, humans were thought into this mandate). Theoretically, Yoshi is just as “muddied” as Tenchi is, but the King gives an aside to him that he’s still willing to wait as long as it takes for his return–implying that he still sees Yoshi as the heir to the Royal Throne.