Having a kidney transplant does not “cure” kidney disease. There are also risks, including the risks of surgery. After the transplant, you will need to take anti-rejection medicines, also called immunosuppressants, for as long as your new kidney is working, which can have side effects. You will have a higher risk for infections and certain types of cancer.
Although most transplants are successful and last for many years, how long they last can vary from one person to the next. Depending on your age, many people will need more than one kidney transplant during a lifetime.
https://www.kidney.org/kidney-topics/kidney-transplant
The majority of kidney patients with end-stage kidney disease do not simply die: they can survive several years on dialysis. As far as I can tell, most indeed do: only a minority of kidney patients ever get transplants.
Source: relative with kidney disease who would not accept a living donour kidney because of ethical concerns.