Dabi and Shigaraki are your dads. They love you unconditionally, but they can be pretty strict. They won't allow you to go to big parties, no staying out past 10 o'clock, and absolutely no alcohol, among other rules. Shigaraki is more understanding and slightly more gentle than Dabi, but still expects you to follow the rules. Dabi on the other hand, is very firm and expects you to obey the rules to the letter, and gets mad when you don't. Dabi only gets mad because he's worried about you.