That doesn't apply to Alzheimer's disease directly though. If you don't want to live when your conscious life is limited to short flashes of awareness among a deeply terrifying melange of visions of the past and hallucinations, DNR laws don't in any way force or even allow doctors to euthanize you. You can persist in this state for many years without ever triggering a DNR check.
That is sadly true but at least you can prevent them from feeding you through a tube when you forgot how to swallow