I'm not sure if there is such a specific fanfiction. Fanfiction can cover a wide range of very creative and sometimes out - of - the - ordinary ideas, but this one seems rather unusual. You might try searching on some large fanfiction websites to see if it exists.
The chances are probably quite low. This is a very specific and rather unorthodox concept that might not be very popular among fanfiction writers. Most fanfictions tend to focus on more common themes like character development, new adventures, or different relationships within the bounds of the original story's feel.
Kurama might develop from being a more aloof and powerful entity to one that has a newfound sense of connection and responsibility. He would have to care about the well - being of Kushina and the unborn child. Kushina, on the other hand, would have to deal with the physical and emotional changes of pregnancy while also coming to terms with the fact that it was Kurama who was involved.
Definitely not. The Naruto series has a well - defined world with certain rules. Naruto is a human (or shinobi) and Kurama is a tailed beast. Their interactions are mainly about Naruto using Kurama's power. The idea of Naruto getting Kurama pregnant is completely out of the realm of the Naruto story's logic, and it would be a very strange and uncanonical fanfiction.
One consequence is a change in his physical strength. Kurama provided Naruto with a huge boost in power, so without it, he might not be as strong in terms of brute force. However, this could also force him to become more strategic in combat.
Well, Naruto might gain new and powerful jutsu. Kurama could teach him some unique chakra control techniques that no one else in the village knows. This would make Naruto even more formidable in battle.
Yes, there are likely some 'Naruto Gets Pregnant' fanfictions out there in the vast world of fan - created content. However, such concepts often deviate from the original source material in very extreme ways.
If Naruto gets rid of Kurama in fanfiction, one way it could change the story is that Naruto would lose a major source of his power. He'd have to rely more on his own natural skills and training. This might make him seem more vulnerable at first, but it could also lead to him developing new and unique abilities. For example, he could focus more on his Sage Mode training and become even more proficient in it without Kurama's chakra interfering or overshadowing his progress.
I'm not sure if there is a single 'popular' one in the sense that it's widely known. Fanfiction is a vast world with so many different stories. Some people might write this type of fanfiction for the shock value or to explore a different relationship dynamic. But it's likely that most Naruto fans are more focused on the canon pairings or more established fan - created pairings. So it might be a bit of a niche within the Naruto fanfiction community.