The villagers themselves could be deeply affected. Given Naruto's history with the village, his singing could be a symbol of the village's own resilience. It might bring back memories of how the village has overcome hardships in the past, and give them hope for the future, making them feel proud to be part of the Hidden Leaf.
One possible plot could be Naruto using the song as a form of inspiration during a tough battle. Maybe he's facing an enemy that seems unbeatable, and the lyrics of 'I Will Not Bow' give him the mental strength to keep fighting. He might start singing it quietly to himself at first, and as his resolve grows, his voice gets louder, inspiring his comrades as well.
He could be singing for Hinata. After all, she has been by his side through a lot. It would be a very romantic gesture, showing his love and appreciation for her.
One possible plot could be that Naruto is in a situation where he is being pressured to conform to a new, oppressive regime in the Hidden Leaf. Instead of giving in, he starts singing 'I Will Not Bow' as a form of resistance, inspiring others to stand up with him.
It could make his friends more protective. Since Naruto is in a weakened state without his full chakra, his friends might be more concerned about him and try to keep him out of dangerous situations.
On the positive side, some might see Naruto as a powerful asset. Since the Kyuubi is extremely powerful, if they believe Naruto is the Kyuubi, they could try to use his power for their own good. However, this also means they might not see Naruto as an individual with his own feelings and will. His relationships would become more about what he can do for others rather than true friendship.
His relationship with Sasuke might change. Sasuke always saw Naruto as a strong rival, and a big part of Naruto's strength was Kurama. Without Kurama, Sasuke might view Naruto differently. Also, Naruto's friends might be more protective of him, as they know he's lost a major source of power.
On one hand, it can strengthen his relationships. His friends might be inspired by his seemingly unwavering happiness. They might think that Naruto is so strong - mentally and emotionally - that they admire him more. For example, Sakura might see his happy face and feel more confident in their team.
Naruto might develop more confidence in his non - combat skills. Singing and dancing with the devil could expose him to new forms of self - expression. This could then translate into his ninja life, making him more creative in his battle strategies.
In a romantic relationship, it would be a major obstacle. His partner would have to be very patient and understanding. They would need to find other ways to show love and closeness, as physical touch is a common part of a romantic relationship. This could potentially slow down the development of a romantic relationship.
On the positive side, it could bring him closer to those who also have issues with his father or the old ways. There might be some characters who have been wronged by Naruto's father's decisions in the past. Naruto's hatred could make them form an alliance of sorts, united by their shared negative feelings. However, overall, it would likely cause more problems than benefits in his relationships.