The relationships would be completely different. Instead of the usual friendships and rivalries, there would be a lot of hostility. For example, his relationship with Bakugo would be even more strained. Normally, there's a complex dynamic between them, but with Izuku hating everyone, it would be all - out enmity.
Another aspect could be the general discrimination in the BNHA society. The fact that society is so focused on quirks and those without are often looked down upon might have made Izuku bitter. He could be hating everyone because he sees the society as a whole being corrupt and unkind, not just the individuals who directly wronged him.
Fanfiction often takes liberties with the relationship between Izuku and Toga. It could also involve them teaming up against a common enemy. This would require them to put aside their differences and work together. Writers can use this to create exciting action - packed scenes and explore how they would communicate and cooperate in such a situation.
Yes, there are likely fanfictions out there with the concept of 'izuku is loki'. Fanfiction communities are vast and diverse, and many authors like to create crossovers or unique interpretations like this. You can start by looking on popular fanfiction websites such as Archive of Our Own or FanFiction.net.
One possible aspect to analyze in 'izuku expelled fanfiction' could be the character development. Since Izuku is expelled, it would be interesting to see how he copes with this setback and grows from it. Maybe he discovers new powers or forms new alliances outside the school system.
Ochaco Uraraka could also be a common pairing. Since she has her own insecurities and dreams in the hero world, Izuku's reality - controlling power could play a role in either helping her achieve her goals or creating new challenges for their relationship. For example, if Izuku accidentally changes something in reality that affects her family's financial situation, it could impact their relationship and how they interact.
Bakugo is often paired with Izuku. Their complex relationship from the original series can be further explored in fanfiction with Izuku's growth quirk. All Might is also a common character paired with Izuku. He could play a role in guiding Izuku to control and develop his growth quirk. Ochaco is another one. She might be involved in stories where Izuku's growth quirk affects his relationships, especially romantic ones.
All Might would probably be in it. Since he's Izuku's mentor, he could play a role in helping Izuku understand and control his time - controlling power. Maybe he has some past experience related to time powers that he shares with Izuku.
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.
All Might could also be a potential hero to save Izuku. He has a strong bond with Izuku and his presence alone could intimidate Overhaul. He would use his experience and power to rescue Izuku from the dangerous situation.