It seems ecumenical, though.
Your point is, of course, correct, it has been reported repeatedly by doctors. Faith does seem to have a detectable medical effect, but WHAT the faith is in, doesn't seem to matter. Faithful people seem to hang on better when faced by disease (or torture, the stresses of combat, imprisonment, grief, etc) but the religion of the patient seems irrelevant. It is the act of believing itself which seems to be beneficial, not what is being believed in. This suggests that faith causes mental and physiological changes, not that the creed believed in has anything to do with it.