There is a book to accompany the series which can be obtained on the BBC website.
I've skimmed through it and this is what it has to say on fat for the three types of dieters.
"THE RIGHT DIET FOR FEASTERS
..Try to reduce the number of calories in each gram of food eaten and increase the amount of fibre. This can be done by eating bulkier foods. You can do this by eating less fat and sugar while increasing the proportion of vegetables and fruit that you eat and choosing high fibre or wholegrain types of carbohydrates..."
"CONSTANT CRAVERS
RECOMMENDED FATS ON UNRESTRICTED DAYS
On unrestricted days you can include some added fat in your diet, either to cook meat, fish or vegetables or as a salad dressing. Try to follow the Mediterranaen diet by using fats and oils that are rich in the heart healthy monounsaturated fats.....
GENERAL STRATEGY FOR UNRESTRICTED DAYS
Try to fill your plate with vegetables, one quarter or more with carbohydrate and the remainder with protein-rich food."
EMOTIONAL EATERS
No specific reference to the type of diet to be followed, but there is a recipe for low-fat chicken and mushroom pie.
I do not detect a shift in attitude towards saturated fats.