If Obi-Wan joined Dooku, there might have been a power struggle between them. Also, it could have affected the relationships with other characters and the balance of the Force in unexpected ways.
Qui Gon is significant in Clone Wars fanfiction as he represents an older, wiser Jedi. His character can be used to contrast with the more conflicted and younger Jedi of the Clone Wars era. His calm and steadfast belief in the Force can be a source of inspiration or a point of contention in these stories.
Qui - Gon Jinn was a Jedi Master in the Star Wars universe. He was known for his unorthodox ways. He discovered Anakin Skywalker on Tatooine, believing Anakin to be the Chosen One. Qui - Gon tried to train Anakin in the ways of the Force against the Jedi Council's initial reluctance. He was a strong advocate for following the will of the Force rather than strict Jedi dogma. Sadly, he was killed by Darth Maul during the Battle of Naboo, but his discovery of Anakin set in motion many of the events that would shape the galaxy in the prequel trilogy.
The scenario of Obi Wan joining Dooku would be quite dramatic. It could potentially rewrite the entire fate of the galaxy. Maybe Obi Wan would have different motives or be under some kind of mind control.
Qui Gon fanfiction set during the Clone Wars can also focus on alternate timelines. What if he hadn't died? Maybe he could have been a key figure in preventing some of the tragedies that occurred. His unique view on the Force might have led to different alliances and strategies against the Separatists.
Qui - Gon Jinn was a Jedi Master. He was a maverick in the Jedi Order. He discovered Anakin Skywalker on Tatooine. Qui - Gon believed Anakin was the Chosen One who would bring balance to the Force. He fought against Darth Maul in a great duel on Naboo. Sadly, he was mortally wounded by Darth Maul but not before asking Obi - Wan Kenobi to train Anakin. His death had a great impact on the events that followed in the Star Wars saga.
Qui - Gon Jinn is a Jedi Master. He is known for his unorthodox ways within the Jedi Order. He was the mentor of Obi - Wan Kenobi. He played a crucial role in the discovery of Anakin Skywalker, believing him to be the 'Chosen One' in the Star Wars universe.
One common theme is redemption. Qui - Gon often travels back in time to correct mistakes, either his own or those of the Jedi Order. This gives him a chance to redeem himself or the Order in some way. For example, he might try to prevent a Jedi from falling to the dark side.