The images provide visual weight that helps illustrate the great discomfort felt by the patients, not just physically but emotionally as well. Each choice holds great importance, as picking the wrong procedure or delaying other needed procedures can spiral and snowball the dire situation presented by each patient until it is too late to save them. The timer further elevates the pressure often experienced by professionals in the medical field, similarly creating a sense of empathy for patient and doctor alike.
In terms of mechanics, I agree that having additional and unique illustrations for each patient can bring forth scenarios that are more personal for each. Unique dialogue passages and options depending on the patient's needs can further bring distinction and help reflect the differing experiences and circumstances of each of the patients.