All perfect praise be to Allah, The Lord of the Worlds. I testify that none is worthy of worship except Allah and that Muhammad, sallallaahu ‘alayhi wa sallam, is His slave and messenger.
The act in question is a prescribed method of Ruqyah (protective and healing supplication) that brings forth benefit, Allah willing. Reciting Al-Faatihah serves as one of the most effective and powerful methods of Ruqyah.
It has been authentically reported that the Companions recited Al-Faatihah as Ruqyah for a person who had been stung by a scorpion and he was cured. In fact, the entire Quran is a source of healing; Allah, The Exalted, says (what means): {And We send down of the Quran that which is healing and mercy for the believers...} [Quran 17:82]
Allah knows best.