Then why allow ventilators to be used at all? Why do we allow patients without brain damage to use a ventilator? That is, after all, where the distinction is being made. The excuse for removing the ventilator is the brain damage.
Here's a good illustration of this . . .
A modern medical facility these days could probably keep a patient "alive" indefinitely, based on the definitions of "alive" commonly used by the medical community. And yet the same hospital that would provide mechanical substites for most bodily functions on a temporary basis for a major surgical procedure would not be expected to do the same thing for a 100 year-old patient (indefinitely) who is brought into the hospital with massive organ failure, multiple infections, etc.