I, personally, have been healed instantly on the spot when prayed for many times, and have witnessed powerful healing upon my friends that could only come from Jesus. When it happens to you, you just don't doubt that the healing touch of Jesus is still working today. With what I've been through this year, I am a miracle walking because of people who prayed for me with strong faith. My doctors are even amazed.
A close friend was prayed for her vision which was so bad she needed thick glasses. Instantly, her vision was restored, and glasses were no longer needed. I have prayed for someone's knee which was immediately free from pain while walking.
Jesus said "As you believe, it shall be done to you".
What you believe is everything. I'm only glad that He has given me the faith to believe that all things are possible, even for today.
Why would Jesus not want to see people healed? And since we are now His body, it only makes sense that some are given the ministry (gift) of healing. But even those who do always wait upon the Lord for direction and only minister in prayer when guided by the Holy Spirit. Some people who want healing really need to deal with other issues in their lives such as anger, fears, etc. which affects their health. Along with the gift of healings comes wisdom and discernment.