Counter-Example 1: Don't banana split when opponent has a stronger board. Here 25/21 5/4* is compulsory.
Score is 5-4 to White to 7.
Counter-example 2: Don't double 2-away in a gammonish position. Here White wins plenty of gammons but should double anyway because of his losses.
Score is 3-5 to Black to 7.
Counter-example 3: If your opponent is 2-away and doubles, redouble immediately. Here Black doubled with a double shot (admittedly a terrible play) and missed. White definitely should not redouble!