Headmaster / Head of School Changes and Impact on School?

Three of the schools we are revisiting (L’ville, Hotchkiss & Exeter) will be transitioning in new Heads of School for the Fall. Any thoughts from current parents who have been through a recent leadership change as to the immediate impact there will be on the culture and/or day to day operations at the school? Just not sure if it’s something we need to factor into the equation as we make a decision.