Hiashi could be initially skeptical. Naruto has a reputation for being a bit of a troublemaker at times. But if Naruto presents a good case, Hiashi might warm up to the idea. For instance, if Naruto shows how his actions would bring honor and prosperity to the Hyuga clan.
One possible motive could be a misunderstanding. Maybe Hiashi mistakes Naruto for an enemy who has infiltrated the village in disguise. Another reason could be related to clan politics. If Naruto somehow gets involved in a situation that threatens Hiashi's clan interests, Hiashi might take extreme measures.
Naruto might convince Hiashi by pledging his loyalty to the Hyuga clan. He could say that he'll uphold the clan's values and traditions. Also, Naruto could mention how Hinata has been a positive influence on him, which shows his respect for her. He might also talk about his plans for the future and how Hinata will be an important part of it in a way that benefits both the Uzumaki and Hyuga clans.
In this fanfic, Naruto might save Hiashi in a battle situation. Maybe Hiashi is facing a powerful enemy that he can't handle alone, and Naruto steps in with his strong ninja skills. For example, if Hiashi is being attacked by a group of rogue ninjas, Naruto could use his Rasengan to fend them off.
One possible reason could be that Naruto is in love with a Hyuga clan member. Since Hiashi is the head of the Hyuga clan, Naruto might think it's proper to ask for his blessing. For example, if he has feelings for Hinata, Hiashi's daughter. Hiashi's approval would mean a lot in terms of family and clan acceptance.
She could play the role of a peacemaker. In a fanfic world full of conflicts between different ninja clans, she might use her charm and diplomatic skills to bring about peace. For instance, she could negotiate treaties between warring clans.
Often in fanfics, the character of Sakura Hiashi's daughter might be developed in relation to the existing Naruto universe. She could be friends with characters like Naruto's children. Her story might involve going on adventures, perhaps to protect the village from a new threat. This would not only show her courage but also her loyalty to the village.
Typically, in such fanfiction, there would likely be a focus on the relationship between Hanabi and Hiashi. 'Lemon' usually implies some form of romantic or sexual undertones, so there might be scenes exploring their deeper emotional and physical connection. However, since this is fanfiction, the author's interpretation can vary widely, and it could also include elements like character development within the context of their relationship.
In Naruto and Hiashi fanfiction, Naruto and Hiashi are the central figures. Naruto is often depicted as the catalyst for change or a source of new ideas in these stories. Hiashi represents the traditional values and power of the Hyuga clan. Sometimes, other characters from the Naruto universe might also be involved, like Hinata, who is Hiashi's daughter and has her own connection to Naruto. But overall, Naruto and Hiashi are the main focus, with their interactions driving the plot forward, whether it's about mending clan relations, fighting a common enemy, or exploring new ninja techniques.
I'm not sure if it's popular. It depends on various factors like how well it's written, how it's promoted within the fan community, and the size of the Hyuuga fandom interested in Sakura -centric stories.