Yes, you've put it perfectly.
From everything we know of the Hyuuga clan to outwardly be proud and protective of their byakugan, and inwardly committed to upholding the tradition of shackling family members who might later pose a threat to the head family. So the orphaned powerhouse of who's in an undisputed line for Hokage would be especially appealing to a family that built it's power the old fashioned way - by marriage and suppression. And Naruto has been revealed to be an Minato and Kushina's child, but without the messy problem of extra family, so the Hyuuga's could have a future son-in-law of a good family name and not have to share him with another clan or set of tradition. The Hyuuga's could influence him completely.
So the pressure on Hinata to claim this prize of husband would have been huge. Piling already onto her stalker view of Naruto. Now the whole clan would have been stalking him!!
And yes, it does seem like Hinata has left her clan behind to marry him. Instead of her being the dutiful daughter, she is living outside the bounds of the clan restraints, devoted entirely to Naruto's needs. They don't live inside the clan compound, they don't have to perform the bird seal, the are not protected by the other members of the family like Hinata was, and the children are not being raised as Hyuugas, constantly fighting and trying to establish a pecking order although knowing they'll never be out of it.
There seems to be no intention of Hinata's part of moving into the head of her clan. So my guess is that role has moved to Hanabi, and Hinata has relinquished every claim to the Hyuuga clan except for the name. It's an amicable separation, however, because Hiashi and the rest of the family still want to keep their good influence with the Hokage.
I have to think that if Hinata had married outside the clan to someone like Kiba — a naruto-esque shinobi of middling skill with the same loud mouth and crass nature as naruto — the Hyuuga family would not have been so kind to her. She would have been roundly disowned by her family, and brought into a family that was entirely the opposite of her upbringing leaving her to feel just as lost in her adult family as she did as in her childhood one.
I honestly feel that in the long run, you nailed it, Tricks. 
This is why I love watching your posts! And this is why you are right. Though some people called Hinata the Hyuga princess and heiress, even if it feels like she isn't to me either. And the fact too that she had only loved the idea of Naruto, and that perhaps Hiashi and the others kept their influences just to make sure that Naruto could be swayed to help them, seeing his and Hinata's marriage as a political benefit.
Persona 5 hype 
