Byakugan really shouldn't affect his Uzumaki lineage since only Full Uzumaki (in the sense of having both Uzumaki parents) have the chains strong enough to hold down a Bijuu. Naruto was born with strong chakras (scan), powerful body, and large reserves/stamina. Taking that for granted, Boruto was shown capable of using the shadow clone jutsu, and from my understanding he made two (one to trick his father, and one besides him). Meaning his chakra pool is already high.
Given that the Byakugan requires intense chakra control to use, and that Naruto himself learned techniques such as the Rasengan which is the pinnacle of shape manipulation (mind you which is a higher form of chakra control), Boruto would be a genius with the Byakugan, if not more. Already being hailed as a Prodigy in his generation, and with a childish attitude to boot. If the kid can become serious and breach out with a goal, then he will probably be the strongest of his generation. Kurama or not.