If Adrien were Hawkmoth in fanfic, it could change the dynamics of the story completely. It might explore his internal conflicts and the impact on his relationships with other characters.
Paris would be in chaos. With Adrien as Hawkmoth, he would know a lot about the heroes, especially Ladybug. So he could target them more effectively. There would likely be more akumas, and they might be stronger and more difficult to defeat.
Perhaps Adrien becomes Hawkmoth because he's been pushed to the edge by Ladybug's rejections. As Chat Noir, he's constantly in love with her but feels unappreciated. The pain of this unrequited love could twist his perception of good and evil. He might think that if he were in control as Hawkmoth, he could make Ladybug see him in a different light. He could use the power to create situations where Ladybug has to rely on him more, or at least understand his pain.
Well, it could be that some dark magic or a powerful artifact corrupted him over time. Maybe he faced a great loss or betrayal that led him down this dark path. For example, if Ladybug was somehow lost or turned against him, it could have been the final straw that made him embrace the role of Hawkmoth.
One implication could be that it might strain their friendship a bit. If Adrien really believes this in the context of fanfiction, he might start to act differently around Nino.
If Adrien becomes Hawkmoth in fanfiction, Paris would be in for a major shock. His friends, like Nino and Alya, would never suspect him at first. And Marinette, who is Ladybug, would be facing a completely different kind of enemy. She's used to fighting Hawkmoth as this unknown figure, but now it's someone she knows so well. It would change the dynamic of their battles entirely.
There's also a great one titled 'Adrien's Duel Against Hawkmoth' on Archive of Our Own. In this, Adrien discovers some new powers that help him in his fight against Hawkmoth. It's really exciting as it shows a different side of Adrien's character and his determination to defeat the villain.
On a personal level for Adrien, he would be straying from his own moral compass. He has always been a character associated with good and helping others. By helping Hawkmoth, he would be going against his own values, which could lead to internal conflict and a possible downward spiral in his character development. He might start to question his own identity and the choices he has made, and it could take a lot of effort to get back on the right track.