Responses to being wounded while a story is resolved

By mischraum.de, in CoC Rules Discussion

Take characters like the Military Advisor or a gug character. They are commited to a story. During the story resolves they take several wounds, enough to let them die. During the story resolving they can't trigger their responses. After the stories are resolved they are in the discard pile. The FAQ states they can now only respond to effects that made them go to the discard pile. So take Laboring Gug. Can I draw two cards because he was wounded twice or can I draw only one card because only the last wound put him into the discard pile and the effect of the first wound is now ignored because the gug is in the discard pile now.