Correct, and Hants do need to have at least one more point: if Notts and Hants finish on the same number of points, Notts win the tie-breaker (same number of wins, but fewer losses, 3 vs. 4).
But I think Hants are almost safe from relegation.
Rules:
The side which has the highest aggregate of points
gained at the end of the season shall be the Champion
County of their respective Division. Should any sides in
the Championship table be equal on points, the
following tie-breakers will be applied in the order stated:
most wins, fewest losses, team achieving most points
in contests between teams level on points, most
wickets taken, most runs scored. At the end of the
season, the top two teams from the Second Division will
be promoted and the bottom two teams from the First
Division will be relegated.