If I may use your metaphor, falls aren't infectious. And because they aren't infectious, they don't overwhelm the medical system.
Yes, it's true that many people who get covid will have a mild case. Broadly speaking, the younger someone is, the better their chances.
And it is just as true that hospital systems in hotspot areas are overwhelmed, causing emergency standards of care, burnout among medical staff, long waits, and the postponement of things like surgery for cancer patients.