Plus, winning a GOP primary doesn't mean that you can win in a general election -- just ask Lamont how his primary victory is carrying over to the general election. Candidates who don't stand a chance constantly win party primaries.
Finally, Secretary of State is one of those down-ticket positions that most voters pay don't really pay any attention to. Besides, she's running against an incumbent who has won state-wide in highly visible job. So only one of your three examples actually has any impact upon her being electable state-wide.
Candidates who don't stand a chance constantly win party primaries.
Candidates that do stand a chance constantly win in the primaries and general elections. As Kathy has and will again.