Most of the stereotypes that people (including some Christian Scientists!) have of practitioners probably don't have much more relationship to reality than any other stereotypes.
For instance, if we picture Christian Science practitioners as living utterly serene lives, we may be surprised to learn that many have young children. That fact alone should be enough to challenge the notion that practitioners live placidly apart from the demands of everyday life!
Or if we imagine that practitioners have few personal challenges to meet, we may actually be heartened to know that many practitioners have indicated they've done some of their most effective healing work for others as they've needed to face and heal severe difficulties in their own lives.