Your argument seems to be that surviving an otherwise incurable illness has .. downsides?
Or think about this on the extreme end: I think many people would choose a time to die peacefully rather than sit in a semi-vegetable state in a hospital bed for the rest of their life.
Maybe in some cases, but as an overall statement it seems seriously misinformed. Not all cancers or their treatments are the same. My mom had breast cancer surgery followed by chemotherapy and it certainly didn't age her or make her body frail.