They call on elders, not faith healers. Anointing oil has a variety of interpretations. It is holy and has sacred power. For years, just done for the dying, ironically. Some interpreters believe eternal healing is in view, not earthly healing, so appropriate.
Physical health is intertwined with spiritual health.
Alcoholism, drug abuse, sexual disease can all lead to broken health. Few things are more healing than knowing your sin and guilt has been removed. The emphasis is on your relationship with God. V. Don't underestimate the power of prayer. Even secular authorities are taking notice.