He was never gonna dump the baby on him. Hyesung (hope I spelled that right) just walked in at the wrong time and misunderstood. All this is a misunderstanding and Hyesung just has a bad past that's pushing him away from wanting to be with the child that he didn't want. Sometimes I think people either don't understand the story or just keep saying stuff they know ain't right. But seriously, if you aren't sure you understand it 100% just reread it. There's so many hints that he's had a bad (maybe even horrible) past, and he even had a moment where I think I understand why he's so unhappy to be an omega. But it all has to do with his father, that's for sure.
My opinions on this story are so complicated. IMO if a parent doesn’t show any interest in their child, they shouldn’t have it. I know it’s a little different since hyesung does show some interest , but I believe that if he doesn’t make the decision to go back soon, then he should just go for the child’s sake before he gets too old. I do support hyesung since he did make a contract about the money and specifically stated the he does not want to see the baby, and although he shouldn’t have run away like that, it’s not fair to dump the baby on him either. Dojin clearly wants to raise the child so he should be the one to do it even if he does it by himself.