Yeah. It doesn't sit right that he's pushing that hard for a god-kill, especially when the person who should be offended doesn't want it to happen. It's far too beneficial for the mafia if Doughty's godkilled to ignore:
If Doughty is mafia, God-killing him allows the mafia to stuff the lynch and get rid of a TP.
If Doughty is TP, God-killing him allows the mafia to lynch another TP.