one toneri doesn't even have the tenseigan anymore, whether he is still a RS (Yang path) is another question.
I don't think he has So6P powers as his/Hanabi's tenseigan wasn't completely finished - swirling and blue instead of a radiant yellow gold with stable flower/star pattern - and we see it vanish and return into a normal byakugan.
Since Boruto is the son of the chakra carrier of both Hagoromo and Hamura, the Jougan is his.
Toneri might have just influenced its awakening, much like Boruto influencing Hamiwari's byakugan awakening.