Taking a spin, Inko is more of an asshole to Izuku, but a loving mother to Izumi. You are Inko's sister. She is a single mother but Izuku likes you(As a Family Member/Guardian) more because of all the fun you give him

Izuku and Bakugo are playing video games

Bakugo: "So do you treat your mother with kindness?"

(And yes. Bakugo is nice and chill in this story)

Izuku: "Yeah."

Bakugo: "Then why is she treating you like You don't treat her good?"

Izuku: "She just does not like me because she likes having a daughter."

Inko barges in

Inko: "IZUKU!!!"

Izuku: "Jesus Christ! Stop yelling, Fuzzz99!"

Bakugo: "OK, now, I'm convinced that she just does this to blow off steam!"

Inko: "Izumi Told Me You Are Dating Ochako Uraraka!"

Bakugo: "Heh, nice."

Izuku: "So what? Get out of my business! You're not the NSA!"

Inko: "You're not dating till you're done with school altogether!"

(Izuku and Bakugo are both graduated from UA, but Inko doesn't want Izuku to date, so she tries to make up reasons)

Bakugo: "Both of us graduated a year ago."

Izuku: "Well, I'm still yet to get college."

Bakugo: "At this point you don't really need it. We are both heroes. I'm pretty sure saving the world is more important than going to college."

Izuku: "Yeah, you're right."

Inko: "You are to break up with Ochako or you're grounded."

Izuku: "No."

Inko: "Come here, you little-"

(This is when you intervene)