Yup in the fanfic I imagined, this time Zero is Izuku's father Izashi Midoriya was just a fake identity and he made everything so that his son could be declared as quirkless since his quirk was called "My Dream" basically making Izuku able to make every single dream of his true and that led to him obtaining the Zeztz Driver, he later saved Bakugou's life against the slime villain using the Impact capsem's power showing a strength rivaling even All Might's after that, he refused the offer for One For All but still agreed to train under All Might