This kind of reminds me of Treasure Planet in some way. All Might is like a father figure that Deku never had. I am not sure what happened to his real father, but I have to guess Izuku's mom got divorced and his dad left the family for a long time, propably when he learned that Deku had no quirk. So he gave up on his son. So Deku never really knew what it was like to have a father. The same way Jim Hopkins was from Treasure Planet. His father left and never came back, so Jim never knew what it was like to have a father figure, until he met Captain Silver in the movie. Those are just my thoughts anyway.