Make of the below what you will. My comment is that in Tom's book it is hard not to find on each page of the non-recipes, a positive reference to low-carb, and as below low calories low fat wasn't promoted:
Page 10:
"..I realised pretty quickly that calorie counting wasn't for me."
Page 10 - 11:
"Following a fat-free diet would prove difficult because of my job. Butter, dairy and animal fats are in high use in both of my pubs and, as all chefs and good cooks know, fat carries flavour."
Page 11:
"So next up, I looked at a low-carbohydrate diet and tried to understand how that works. It quickly became clear to me that a traditional way of eating even if it's "balanced", is high in carbohydrates, which increases insulin production, and which in turn leads to more fat accumulation."
"As I came to understand the low-carb diet, I realised I could have double steak, no chips, or swap the chips for a side order of vegetables from the menu, such as cabbage, spinach or sprout tops."
"..I discovered that swapping bland white carbs for leafy greens has another advantage. Those side dishes are high in iron and have strong, huge, flavours that leave you feeling very satisfied and banish cravings."
Page 15:
"I am not claiming this is a traditional balanced diet that's low-calorie. low-fat and all of the things we've been told for years will help make us thin (while we get fatter and fatter). "..Alongside taking exercise and cutting out alcohol, they have helped me lose a huge amount of weight without once feeling hungry or deprived."
Dairy products. "I use full-fat cheese, cottage cheese, wholemilk yogurt and double cream (in the program he selected single)
Page 23:
"I try to stay below 90g of carbohydrate per day."
Tom used the low carb high fat protocol for his great weight loss (page 15, food types such as full fat dairy, oily fish, nuts. He uses, lots of butter, coconut flour, flaxseed, dark chocolate, berries. He does use some honey and sugar substitutes.).
It looks like on this occasion low calorie, low fat is the way politically, in the context of Tom's book it does seem strange, but I get this on the BBC; as a public broadcaster they probably have to follow the standard guidelines. Again in fairness his lasagne dish was definitely low-carb (not referenced) and another dish was low calorie / low fat. The irony is people will look for Tom's current book after this, so might be surprised it is low - carb (unless he brings out another due to this series).