Ok so I'll explain why random guilty on Classic setup with doc save night 1 is autowin as town.
D1 - No one dies (7 players remain) with 2 cop claims, 1 cop has inno and other cop has guilty (on someone other than his cc). This proves that 1 Mafia is among the cop claims, meaining cop two (the one with a guilty) has already found 2 Mafia in his perspective (1 from report, other from cc). This results in town auto lynching cop two, because if it displays as the Cop who dies after lynch, then town has already found 2 Mafia (from Dead cops review). Basically to break it down further; 7 players becomes 6 after cop lynch, Mafia kills at night making it 5 players, at this point with both Mafia already revealed its autowin for town. On the other hand if cop two was Mafia like last game, then the Mafia dies and cop gets to continue investigating with Doc saving him :) Hope this explains it!