It could completely change the dynamics of his powers and his journey. Maybe he'd have an easier time mastering jutsu or face new challenges related to his unique bloodline.
In a lot of Naruhina fanfiction, Naruto is indeed OP. His character has so much potential for being OP given his origin in the Naruto series. He has the Nine - Tails within him, which is an incredibly powerful source of chakra. In fanfiction, authors can take this and run with it. They can make him so strong that he can change the whole ninja world on his own. When it comes to Naruhina fanfiction, his OP nature can also be used to show how he protects Hinata, making their relationship more endearing. For instance, he might be able to take on entire armies to save her, which is a common trope in such fan - made stories.
One common element is that Naruto has extremely enhanced jutsu. For example, his Rasengan might be many times more powerful. Another is that he has unique kekkei genkai or abilities not seen in the original. He may also have superhuman speed and strength.
In Naruhina fanfiction, Naruto's OP nature can be attributed to multiple factors. His connection to the Nine - Tails is a big part of it. The Nine - Tails not only gives him a vast amount of chakra but also a certain level of invincibility. Additionally, Naruto's growth throughout the original Naruto series is often accelerated in fanfiction. He might master new jutsus faster or have a deeper understanding of his powers. His relationship with Hinata also plays a role. His desire to be a worthy partner for her and protect her can fuel his growth and make him seem even more overpowered. For example, he might train harder or unlock hidden powers because of his love for her.
I'm not sure specifically as there could be many different plots in a 'naruto is op academy' fanfiction. It might involve Naruto having overpowered abilities in an academy setting, like being able to use high - level jutsu easily while others struggle. Maybe he outperforms his classmates in combat training or academic studies due to his new - found op (overpowered) status.
There are also fanfictions where a bloodline is created through some sort of experimental jutsu. For example, a bloodline that allows the user to transform into different elements at will. This would give the character an edge in combat as they could adapt to any situation by changing their form.
In some fanfics, Naruto absorbs the bloodline through a special jutsu. For example, he might find an ancient scroll that contains a jutsu allowing him to transfer and absorb the genetic traits related to a bloodline.
In these fanfictions, a common unique feature of the Hozuki bloodline is the ability to turn into a liquid - like form. This allows the characters with this bloodline to pass through small spaces, avoid attacks, and even trap enemies within their liquid bodies.
In fanfiction, Naruto is often seen as OP (overpowered) because in the original series he already has a lot of powerful abilities like the Nine - Tails chakra, Shadow Clone Jutsu, and Rasengan. Fanfic writers might exaggerate these powers even more. For example, they could make his Nine - Tails chakra completely uncontrollable by his enemies, or give him new and insane versions of the Rasengan. Also, his growth potential in the original story is huge, and in fanfiction, this growth can be accelerated to make him extremely powerful very quickly.
One unique ability could be the power to manipulate bones at a molecular level. This would allow the character to reshape their bones into various forms, like sharp weapons or protective shields. Another ability might be the capacity to sense vibrations through the bones, giving them an edge in combat by detecting enemy movements even through solid objects.