Is this me or danganronpa characters are allergic to logic?

Just finished the first case and I'm dead. My friends told me it was peak investigation game but all it is is proving to childrens why you know it's one guy. I dont know if all cases are like that, but his name was litteraly written with blood by the victim (they tought it was a number 😐. There wasnt a single proof that could not innocent you and they started to use their brain afther like the fifth time. And even afther that, you can lose because leon called you stupid too many times???