Well, perhaps in the fanfiction, Naruto has been influenced by Sasori's way of thinking after coming across some of Sasori's old works or memories. He could start to view life and relationships in a more mechanical way, similar to Sasori. This might lead to conflicts with his friends as they try to bring back the old Naruto. And in battles, he might create his own unique form of puppet - jutsu, combining it with his normal ninja skills.
One possible plot could be that Naruto, for some reason, decides to adopt Sasori's more calculating and detached approach to combat. He might start using puppets or puppet - like techniques in battles, much like Sasori did. Maybe he's on a mission where he has to infiltrate an enemy base and he thinks acting like Sasori would be the best way to succeed.
In a 'naruto acts like sasori' fanfiction, the plot could involve Naruto being in a situation where he has to mimic Sasori's behavior to outwit an enemy who is a big fan of Sasori. He would then start to act cold - blooded and strategic, much like Sasori. This change in Naruto could also attract the attention of Orochimaru or other villains who see potential in this new - found side of Naruto. They might try to manipulate him, leading to a complex web of events where Naruto has to struggle between his true self and the Sasori - like persona he has adopted.
I'm not sure of specific 'naruto acts like sasori' fanfictions off - hand. But you can try searching on fanfiction websites like Archive of Our Own or FanFiction.net. Just type in the keywords and browse through the results. There might be some really interesting stories out there where Naruto takes on characteristics or behaviors similar to Sasori.
One possible plot development could be Naruto getting into more intense battles with stronger opponents. Since Kenpachi is always seeking strong battles, Naruto may start to do the same. This could lead to him exploring new areas to find worthy foes.
One possible plot twist could be that Naruto's friends think he's been possessed or something. They would try to find a way to bring the old Naruto back. Another could be that Naruto's new attitude actually makes him a more powerful ninja, which causes some jealousy among his peers.
The plot might involve Naruto having to deal with the stigma of being the'son' of Sasori. He could struggle to find his place in the ninja world while also having to face the enemies that Sasori made in his past. And he might use the skills he learned from Sasori in unexpected ways to protect his friends and the village.
Well, one possibility is that Naruto could learn unique puppet - making and puppet - controlling techniques from Sasori. This would give him an edge in battles, like being able to use puppets to distract opponents while he attacks with his regular ninjutsu. Maybe Naruto would also inherit some of Sasori's cold - bloodedness in combat at first, but then find a way to blend it with his own kind - hearted nature.
One possible plot development could be that Naruto discovers the scrolls in an old, abandoned hideout. Maybe the hideout is full of traps set by Sasori long ago. Naruto, with his ninja skills, has to overcome these traps to reach the scrolls.
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.
Maybe there's a plot where Naruto is influenced by an external force that makes him act like the Joker. He then starts to target the powerful figures in the ninja world, not to defeat them in a traditional sense, but to expose their weaknesses and make them look foolish, just like the Joker does with Batman. And as he does this, his relationships with everyone around him start to crumble.
A possible plot development could be that Naruto's new - found Tobirama - like behavior causes some friction within his friend group. His friends might be used to the more carefree Naruto, and this new serious and rule - abiding side could make them feel a bit alienated at first.
One possible plotline could be Naruto starting to manipulate the political situation in the ninja world. Just as Aizen had his own designs on the Soul Society, Naruto could use his influence to create power imbalances among the ninja villages for his own gain. Another could be Naruto using his new - found Aizen - like charm to deceive his friends into following a path that they don't fully understand. He might make them believe that he is still the same Naruto, but his actions would be leading them astray.