Because it's difficult for someone to starve if they're being fed? I though that was kind of obvious.
how can someone is this state engage in such an activity
Because the swallow reflex of a PVS patient remains intact. They swallow their own saliva all the time.
accepting food and water presented to her shows her desire to live
See previous. It would show nothing.
Completely untrue. People who are PVS can't swallow their saliva or anything else. That's just false.