I think you’re looking at it from a purely secular, therapeutic viewpoint. Jernigan’s testimony is that he had supernatural intervention, which certainly CAN entail complete, or even partial, delivery from a compulsion.
Hm. Though I’m an “ever-straight,” I’ve done a good amount of work over the years with Exodus and with Focus on the Family, and have done a good deal of study of the subject.
In most cases, the Lord does not deliver people from temptations in a snap, but does so over time. This is true whether it’s sexual sin or drug abuse.
Of course, as you mention, the Lord still does perform miracles. Some people have been “delivered” from homosexual temptation, from drug abuse, and so on.
I think it can be unhelpful to imply that instantaneous “deliverance” is the norm. That can be very discouraging to those who have prayed for “deliverance” from SSA, for example, and yet who still experience it ...