Are there any Christian groups or denominations that make a distinction between the gift of healing and just praying for the sick to get healed?

In informal conversations with cessationists, I've heard claims to the effect that the gift of healing is fundamentally different from just praying for a sick person to get healed. That someone with the gift of healing should be able to just lay their hands on a sick person and pretty much get them healed instantly, almost at will, like Jesus and the Apostles did in many occasions, whereas praying for someone to get healed follows a different approach and could possibly take hours, days, months of intercessory prayer, and if the person does get healed it doesn't mean that you have the gift of healing *per se* -- it just means that God answered your prayer, just like He would anyone else's, if it is His will to do so. Are there any Christian groups or denominations that make a distinction between the gift of healing and just praying for the sick to get healed? What role does their interpretation of [Mark 16:17-18](https://www.biblegateway.com/passage/?search=Mark+16%3A17-18&version=ESV) play in this distinction?