There could be a fanfiction where Izuku's Oraphin quirk is actually a long - lost part of One For All. This could mean that All Might was not aware of this aspect. As Izuku delves deeper into the history of One For All, he uncovers the secrets of the Oraphin connection, which then changes his training regime and his relationships with his mentors.
A great fanfiction idea might involve Izuku's Oraphin side helping him in unexpected ways during the sports festival. For example, it could give him an edge in the obstacle course by allowing him to understand the movements of the other competitors better. It could also lead to some interesting interactions with his classmates, especially those with animal - like quirks.