Well, in a fanfiction context that is appropriate for all audiences, Boruto might look up to Hinata as a strong female figure in his family. Since Hinata has her own set of skills and a strong will, she could be a source of inspiration for Boruto. He could learn from her how to handle difficult situations with grace, and they could bond over family values and protecting the village.
Naruto would become even more affectionate and protective towards Hinata. He'd be constantly by her side, making sure she has everything she needs. Their relationship would deepen as they share the excitement and anticipation of the new baby.
A possible plot could be Boruto getting into trouble during a training exercise and Hinata helping him out. She could use her skills and experience to guide him through the difficulties he faces. Maybe Boruto is having trouble controlling a new jutsu, and Hinata, with her knowledge of chakra control, shows him the right way.
Their relationship could develop through shared experiences. For example, if they both get involved in a dangerous fight against a common enemy, they'll start to trust each other more.
Naruto and Hinata's relationship could grow as they face parenting challenges together. They would support each other more deeply, and their love would be even more evident to Boruto and Himawari. Boruto might start to understand his father better and respect him more as he sees how hard Naruto works for the family and the village. Himawari would continue to be the sweet, loving daughter, and her bond with Hinata would strengthen as Hinata teaches her more about being a kunoichi. And Boruto and Himawari's relationship as siblings would become closer as they go through various adventures together.
At first, they might be a bit suspicious of each other. Boruto has heard stories about Kurama but has never really interacted with him. Kurama, on the other hand, might be cautious as Boruto is Naruto's son and not sure if he can be trusted. But as they spend more time together, they could start to respect and rely on each other.
They could start by having an honest conversation. Naruto could sit down with Boruto and just listen to his fears without judgment. This would be a first step in building a better relationship.
Their relationship in fanfiction could develop gradually. At first, they might be a bit awkward as a married couple. But as they spend more time together, they'd understand each other better. Boruto would learn to respect Sarada's intelligence and Sarada would come to appreciate Boruto's spontaneity.
Hinata and Boruto don't have a direct, close relationship in the manga. Hinata is more focused on her family with Naruto and their children. Boruto is often involved in his own adventures and struggles.
The relationship between Boruto and Hinata in the manga is rather incidental. Hinata is part of the adult generation in the Naruto world, while Boruto is the new generation. Their paths cross at family gatherings or significant events, but it's not a deep or developed connection.
I don't think there would be a lot of fanfiction like that. Hinata has always been loyal to Naruto. In the Naruto universe, their relationship is based on a lot of development and mutual understanding. So it's hard to imagine a scenario where Hinata would cheat on Naruto with Boruto in a legitimate fanfiction.