Yup. And they wash their hands before and after to avoid cross-contamination with people outside the hospital. This is the same reason cooks are supposed to be

Yup. And they wash their hands before and after to avoid cross-contamination with people outside the hospital. This is the same reason cooks are supposed to be careful about doing this as well: if they contaminate the food, that's a vector for spreading stuff. It simply matters a little less because the actual process of cooking has sanitation purposes.