I absolutely understand where you're coming from, but I view nursing as the front-lines in making people feel better. We are the face they consistently see, and we can advocate for their needs. In terms of having five patients, I had three with my last clinical rotation. I will say, time management and organization are crucial skills as is prioritization, but it's totally doable. I found myself with "down time" throughout my clinical and used it to see and help as much as I could and to pick floor nurses' brains about my future career.
The flip-side of things is how much you can do with your nursing major. After graduation, you may work in acute care for a bit and find that your fears are accurate and you thoroughly dislike seeing patients in such discomfort and you still feel as though you can't give them each the care they deserve. In that instance, there are other areas of nursing: psych units, outpatient clinics, the OR, L&D...the possibilities really are endless. I wish you the best of luck with your decision, but in your position, I can't say I would decide to switch majors.