From a medical perspective Terri Schiavo's feeding tube should have been removed.Doctors and other medical professionals try to do what's best for a patient and many thought that Terri Schiavo would be in a better place if she was allowed to pass even if it would cause her a certain amount of pain.
From an emotional stand point I can see why her family would want to leave Terri Schiavo's feeding tube in for the rest of eternity. From a medical stand point however, she had no chance of thriving without being constantly attached to a machine so she was legally dead. As hard as it was for her family to come to terms with that, she was ultimately just a shell. The Terri that they love and remembered was no longer there with them.