I disagree. Cura personalis is a critical part of their mission and it would make sense for them to select individuals who in some way identify with this principle. I have no Jesuit background but upon researching the concept of cura personalis online, I feel like it is something that would really make for a great medical education.
As someone mentioned earlier, it's true that most physicians are not trained to treat the non-physical factors causing disease BUT wouldn't it be great if more physicians were trained in that? Disregarding psychological and socioeconomic determinants of health are one of the key reasons for the disparity of health care in areas across the United States, in my opinion.