I think you are correct.
I don't recall anyone attempting to remove her sustenance.
If I recall, the Quinlan family appealed first to the Vatican and the Vatican agreed that removing "extraordinary means" of life support was acceptable and stated that nutrition was not extraordinary, but ordinary support of life. And they requested she continue to be nourished after the mechanical life support was removed.
After the requested guidance from the Vatican for their religious convictions, they appealed to the State of New Jersey and won the right to let their daughter die.