A really interesting plot twist could be that Naruto's Dante - like behavior is actually a result of a genjutsu cast by a hidden enemy. As he acts more and more like Dante, his friends start to suspect something is wrong and have to figure out how to break the genjutsu without harming Naruto.
His relationship with Sasuke could become more competitive. Since Dante is often shown as a very confident and somewhat cocky character, Naruto might start challenging Sasuke more directly, which could either strengthen or further strain their bond.
In a fanfiction where Naruto acts like Gintoki, his sense of humor would change drastically. Gintoki has a very specific brand of humor that includes a lot of self - deprecation and poking fun at others in a good - natured way. Naruto, who is more of an optimistic and positive - minded character, would have to adapt to this new type of humor. He might start making jokes about his own shortcomings, which is not something he usually does. His interactions with characters like Sasuke and Sakura would become really different. For example, he could tease Sasuke in a more sarcastic way rather than the usual friendly banter. This would add a whole new dynamic to their relationships.
In a 'naruto acts like gin fanfiction', Naruto might be quieter and more observant. Instead of his usual boisterous self, he could be more like Gin, who is often sly and calculating. Maybe he would have a more subdued way of showing his power and a different approach to his enemies.
Sure, it's very likely that such a fanfiction exists. Given the popularity of both Naruto and Dante, fans are always eager to create unique crossovers. In a 'naruto is dante fanfiction', one could imagine Naruto having some of Dante's abilities or characteristics, or perhaps they are in the same world facing common enemies. But keep in mind that the availability and popularity of such a fanfiction would depend on the fan community's interest in this particular crossover.
One possible plot could be that Naruto starts adopting Deadpool's fourth - wall - breaking style. He might make jokes about his own story, like how he's always chasing Sasuke and how it's like an endless loop. For example, he could look at the reader and say something like 'You think I'll catch him this time? Maybe, maybe not!'.
One possible plotline could be Naruto getting some of Kaneki's ghoul - like powers. So he has to deal with the hunger for human flesh in a way that's similar to Kaneki's struggle, but in the Naruto universe. Maybe he tries to resist it while still protecting his village.
Well, it could mean that Naruto might adopt Ulquiorra's cold and detached demeanor. He might start speaking in a more monotone way, like Ulquiorra. Also, his fighting style could become more calculated and less impulsive, similar to how Ulquiorra approaches battles in a very methodical manner.
In terms of leadership, Naruto could become more like Netero. Netero was highly respected in his world, and if Naruto adopted his style, he might be more reserved in his leadership but still very effective. He could inspire his comrades not through big, rousing speeches all the time, but through his calm and collected actions, showing them that he has a plan and they can trust him to lead them to victory.
The fanfiction could explore Naruto being in a situation where he has to act like Madara to deceive the enemy. He gradually gets too deep into the role and starts to actually think and act like Madara on a more permanent basis. His friends notice the changes in his personality, like his increased aggression and his new - found belief in power as the ultimate factor in achieving goals. They then try to bring the old Naruto back.