In certain fanfictions, the relationship is based on redemption. Giovanni realizes the error of his ways through his connection to Ash. He then attempts to turn his life around and use his resources for good, with Ash being the catalyst for this change in his character.
Often, it's portrayed as a complex relationship. Since Giovanni is typically seen as a villain in the Pokémon series, the fanfiction might show a struggle between Ash's good - natured self and Giovanni's more self - interested motives. For example, Giovanni might try to manipulate Ash into joining Team Rocket.
Another idea is that the discovery of Giovanni as his father makes Ash question his own identity and place in the Pokémon world. He might have to reevaluate his goals and his relationships with other characters. Meanwhile, Giovanni could be faced with the challenge of trying to make amends or trying to bring Ash into his world in a more positive way.
Sure. In the Pokémon community, there are numerous fan-created ideas. The idea of Giovanni being Ash's father has some interesting implications. It could potentially change the whole dynamic of Ash's journey. Fanfiction writers often take such unique concepts and run with them, so it's very possible to find such a fanfiction if you search in the right places, like some dedicated Pokémon fanfiction websites.
Ash might become more conflicted. He has always been on the side of good, but with Giovanni as his father, he'd have to grapple with his family ties. He could become more secretive and brooding as he tries to figure out how to balance his own values with this newfound family connection.
In this fanfiction, it could lead to a lot of interesting plot twists. For example, Ash might have a natural inclination towards Giovanni's style of leadership or strategic thinking without even realizing it. It could also create a great internal conflict for Ash as he discovers his true relation to a rather villainous figure in his world.
One possible plot could be Ash gradually discovering the truth. He might start noticing strange similarities between himself and Giovanni. Then, Giovanni could be torn between his role as the leader of Team Rocket and his newfound feelings for his son. Ash, on the other hand, would have to grapple with the idea of his father being a villain.
In some Pokemon fanfictions, there could be creative interpretations where Ash is made out to be Red's father. However, in the official Pokemon canon, there is no such relationship between them.
Yes, unfortunately, there might be some disturbing fanfiction out there that portrays Ash Ketchum being abused. However, this is not in line with the positive and adventurous spirit of the original Pokémon series. In proper fanfiction, we should expect more positive and creative interpretations of the characters, rather than such negative and inappropriate content.
His relationship could change in terms of training. Ash might start to incorporate some of Giovanni's more strategic training methods (assuming he learns about them). However, his Pokémon might be resistant at first, as they are used to Ash's traditional and more friendly training style. But over time, they could adapt and become even stronger. Also, Ash's Pokémon might have to deal with new rivals associated with Giovanni, which would test their loyalty and determination to stay with Ash.
The relationship could be one of friendship. The bimbo character could be a new friend they meet on their journey. She might be a bit ditzy but has a heart of gold. Ash and Misty could help her become a better trainer, and in return, she could bring some light - heartedness and fun to their group.
One common plot point is the revelation of their relationship. Usually, it's a big shock to Ash and the other characters. Another is Giovanni trying to protect Ash secretly while still being the leader of Team Rocket. Sometimes, there are also flashbacks showing how Giovanni might have been involved in Ash's early life in the fanfiction.