It really depends on what you mean by "the way Terri is living."
I can answer in a general way, though.
If I had the mind of a vegetable, I wouldn't care whether I lived or not. Vegetables don't suffer, as Felos reminds us when he says Terri would feel no pain as she was starved to death. Ironically, at the same time that Felos is saying Terri is "not there," he also says that she should be released from her suffering. George Felos talks out of both sides of his mouth...one moment he says Terri will suffer, the next moment he says she can't feel.
If I had a mind at the level of an "animal," I'd probably want to live as much as an animal wants to live. I'd give and receive affection, want to eat and drink, want to avoid pain, perhaps want to please people, try to communicate in my own way. I wouldn't even be able to think, "I want to die." Humans aren't allowed to starve animals.
If I had the mind of a baby, I'd be happy or sad, like a baby. Try to communicate like a baby. etc.
If I had the mind of a child, I'd try to learn new things, to gain new skills.
I would not like to live the rest of my life in a wheelchair, without my own home, with a reduced income from what I have now, wrinkles, or a lot of things ---- but when/if any of that happens, I may want to live my life all the same. Who can say I won't change my mind?