I really adore Carol's character, although I didn't at the start of the series. Out of all of the others, I think she's grown on me the most. She may have made some poor choices in regard to her ex-husband, but I've never seen her as weak. Despite the hardships she endured, she remained a loving and protective mother, and she never lost her kindness, her ability to put faith in others, her empathy, or her will to keep fighting and pressing forward.
Most people seem to want her to live on for Daryl's sake.
As much as I love their friendship (or is it more?), I want Carol to live on for Carol.