With the toads from Mount Myoboku, Naruto's relationship would definitely change. In the original story, they had a certain connection through Jiraiya. But in this fanfic, Naruto's hatred for Jiraiya could make him reject any help or advice from the toads. He might even see them as part of the 'problem' that Jiraiya represents, and this would create a whole new set of tensions and interactions.
As for Naruto's friends like Sakura and Sasuke, they might be caught in the middle. Sakura might try to reason with Naruto, which could lead to some arguments between them. Sasuke, on the other hand, might not care much at first, but if Naruto's hatred affects their team's overall strength or goals, he would have to take a stance. Maybe he would try to force Naruto to get over it, which could further complicate their relationship.
Well, it would probably make Naruto's relationship with Tsunade more strained. Since Tsunade was close to Jiraiya, Naruto's hatred for him might make Tsunade view Naruto in a different light, and Naruto might also be less trusting of her. For example, Naruto might avoid going to Tsunade for help as he used to.