In the three quarters of a century since my first flight in a Cub, I have seen a lot of crashed Cubs, and am aware of zero fatalities.
Half a century ago, College Park MD had a larger fleet of Cubs for a very active flight school. They crashed often, the best pieces were combined into a flying airplane. N numbers were in tall characters on each side of the fuselage, plus on top of one wing, and the bottom of the other wing. There was one Cub with different numbers on the wings, total of 3 N numbers, and flew like that until its own wings were repaired.
Most of the crash's were while landing, on the airport, or, due to engine failure, off airport. On airport stalls just before landing, and ground loops, off airport landing gear damage from rough places in the field.
As pointed out above, they are not padded, and did not come with safety harnesses, just a lap strap. The welded tube frame is tough, but the fabric is easily punctured, so there is quite a bit of risk. The largest explanation of the relatively few serious injuries over the years is the modest maximum and stall speeds with the original 65 HP engines.
A Cub that stalls at 10 feet AGL is not going to hit the ground at a very high horizontal speed or impact hard.