In many adopted Izuku fanfictions, his character develops confidence. For example, if he's adopted into a loving family, he no longer has the self - doubt that plagued him before. He starts to believe in his abilities more. This new family support gives him the boost he needs to train harder and become more assertive in his hero journey.
Bakugo is often paired with Izuku. Their relationship is complex in the original series, and in fanfiction with Izuku's time quirk, it could add more depth. Bakugo might be jealous of Izuku's new power at first but then come to respect it as they face challenges together.
He could make allies with versions of his classmates from different universes. For example, a more confident and powerful version of Uraraka in a universe where she has had different training experiences. They could team up and use their combined skills to face challenges.
One possible analysis could be that their relationship in fanfic often showcases a strong bond of friendship. Bakugo's explosive personality and Kirishima's more stable and friendly nature create an interesting dynamic. Fanfic writers may explore how they support each other during battles or in their daily lives at school. For example, Kirishima might be the one to calm Bakugo down when he gets too riled up, and Bakugo could inspire Kirishima to be more confident in his abilities.
Bakugo is known to curse in the manga. This is used to emphasize his strong emotions and aggressive nature. However, the frequency and severity of the cursing might vary depending on the context of the scene.
In the manga, Bakugo has had many significant moments. He's dealt with internal struggles, formed new friendships, and taken on challenging missions that have shaped his character.