Another reason could be related to their different ideologies. Naruto is all about friendship and protecting the village at all costs, while Sasuke has his own complex views which might lead him to think that Naruto's way is wrong. This clash of beliefs could escalate to a point where Sasuke believes that slaying Naruto is the only way to impose his own ideology.
The balance of power in the Naruto world would be severely disrupted. Naruto is often seen as a symbol of hope and strength for the village. If he is slain by Sasuke, the village would be in chaos, and other villages might take advantage of the situation. This would lead to a whole new set of power dynamics and political situations in the Naruto universe.
One possible motive could be if Sasuke was on a path of destruction that endangered the entire ninja world. Naruto, as the protector of peace, might see killing Sasuke as the only way to stop him. For instance, if Sasuke was about to unleash a powerful and uncontrollable jutsu that would wipe out many innocent lives.
It might be for Naruto's own good. Sasuke may believe that Naruto is on a dangerous path that will lead to his downfall. So he captures him to keep him from making bad decisions, like sacrificing himself for the village or something similar. He wants to save Naruto from himself in a sense.
One possible motive could be if Sasuke goes too far in his pursuit of power and becomes a threat to the entire ninja world that even Naruto can't reason with. Maybe Sasuke starts to kill innocent people without hesitation, and Naruto, as the protector of the village and the one who believes in peace, sees no other option but to stop him by killing. Another motive could be some kind of dark magic or mind control that makes Sasuke an uncontrollable force of destruction, forcing Naruto to take drastic measures.
It could also be a power play. In the Naruto universe, power is a big deal. Some might frame Naruto to get him out of the way in their pursuit of power. Since Sasuke has his own group of fans in the fic, they could be used as tools to achieve this by making it seem like Sasuke is against Naruto, when in fact it's all a setup.
Perhaps in a fanfiction where the world has been completely turned upside down. If Sasuke had been tricked into becoming an unstoppable villain who was about to destroy the entire ninja world, and Sakura was somehow aiding him (maybe under a genjutsu), Naruto might feel he had no choice but to stop them by killing. Another reason could be a broken heart. If Naruto loved Sakura deeply but she constantly rejected him and chose Sasuke, and then Sasuke and Sakura betrayed him in some way, his anger and pain could lead to such a drastic act.
One possible motive could be to force Naruto to understand his own power. Sasuke might think that by kidnapping Naruto, he can push Naruto to a situation where he has to tap into his full potential. Maybe Sasuke feels that Naruto has been relying too much on his friends and needs this shock to grow stronger on his own.
One possible motive could be Naruto's extreme sense of loyalty and friendship. He might believe that by sacrificing himself, he can save Sasuke from the darkness completely. He could think that his death would shock Sasuke into realizing the error of his ways and bring him back to the side of good.
Perhaps they are being manipulated by an outside force. An enemy of Konoha could deceive them into believing that the village is a threat to the greater good. This would lead them to take the drastic step of destruction. For example, if they are shown false evidence of Konoha planning to start a war that would cause mass destruction, they might act to stop it in what they think is the only way - by destroying Konoha.
One possible motive could be power - related. Sasuke might see Naruto as a symbol of something he wants to control, maybe Naruto's power or his unwavering spirit. By making Naruto his pet, he could feel a sense of superiority.