Where does talk like that start? Yvette is one of the finest coaches in the country. LSU knows that. Everyone in the SEC knows that. Anyone in the country that follows softball knows how good Yvette is, and LSU is very lucky to have her.
Let Yvette go somewhere else and they will have a top 25 team overnight. Softball is becoming more balanced across the nation and it is the one "major sport" where the national champion can come from any conference. Getting to the world series is often a simple matter of luck in how you are placed in the regionals.
Take my word for it, Yvette is at LSU for as long as she wants to be at LSU.