You are avoiding the point. Let me rephrase. Are Christians any likelier to be cured because of their faith?
Yes and no.
Yes, because you cannot receive healing by Faith, if you do not exercise any Faith in the healing, if you do not believe it.
No, because not all Christians can exercise their Faith in terms of healing, they have unbelief in this area. No, because people have different strengths and weaknesses to begin with. No, because some illnesses invoke such fear, are so very serious, so there is more which has to be overcome, in order to operate strongly enough in Faith. No because strength in Faith cannot be always achieved quickly enough to satisfactorily heal.
As we do not experience full Redemption from sins in this life, we might not see full physical healing in this life either. Faith has to be worked outward from our spirit to see physical manifestation, there can be inertia.
So overall, as I said, you cannot compare individuals.