Umm, yup. If they still have inclinations toward that same sin, and they are still contending with it, then they haven't actually been healed from it's ravages. And yet we have many references in the Bible where Jesus did actually heal people from both the physical and mental sins which afflicted them.
When Jesus left the 99 sheep who were just fine and went after the lamb who had strayed, hobbled it's legs and carried the lamb with Him, He didn't just leave the lamb or encourage it to wander on it's own in the wilderness did He? No, He didn't.
When Jesus found and healed the leaper from a disease that caused him to be an outcast from society, did He just pass by and say "Have a fun time!"? No.
When all the other people who needed to be healed jumped into the pool at Bethsaida while the old man who couldn't get into the pool sat by waiting because he couldn't get himself in, what did Jesus do? He helped him, and the man was healed.
The reality here is that all of these people and animals knew they needed help to change their condition, because they were caught up and enmeshed in a sin that they couldn't turn away from by themselves.
They were willing to be totally changed and delivered, and they trusted Jesus to bring about that change. What they didn't want to do was to go back or to tarry on the edges of what they had been delivered from.
Case in point, the demons who had been cast out of humans begged Jesus to send them into a heard of swine rather than to send them back to Hell.
So when Jesus delivers someone from their sins, His intention in that act of delivery is to set the person in question free from everything that is associated with that sin. And He also directs them to embrace their new life when they are delivered.
The lame man was directed to take up his mat and do the useful task of carrying it himself instead of laying around and asking everyone else to move him into the pool.
The man who was healed from leprosy was directed to go and show himself to a priest for confirmation of his healing, and direction that he could indeed begin a new life and be restored to his community instead of being shunned and avoided by them.
So yes, if someone were to ask Jesus for deliverance from the attraction or inclination to the homosexual life, Jesus would heal them.
And in turn He would expect them to move away from that previous life, and towards a life that God would approve of, instead of looking backwards or hanging around on the fringes of the wrong crowd, because it was familiar.
So when a person is delivered from the chains of their previous sin, they are also expected by Jesus to turn and remove themselves from the temptation to return to that sin, and not willingly remain hanging around in the vicinity of the temptation.
So someone who is delivered from alcohol (for example) would be expected to get rid of the bottles, not go to the liquor store, and not go tailgating in the parking lot, or chug a beer during the game.
It's not about just resisting the urges, it's all about doing a 180 with your life so that your eyes are able to see what is the right thing to do, and to be glad that the chains are gone and you are freed from them.
